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423399456 = 253223411559
BaseRepresentation
bin11001001111001…
…001000000100000
31002111200220212100
4121033021000200
51331342240311
6110002530400
713330556514
oct3117110040
91074626770
10423399456
111a7aa8307
12b9966a00
136994512c
1440336144
1527286a56
hex193c9020

423399456 has 144 divisors (see below), whose sum is σ = 1287861120. Its totient is φ = 131619840.

The previous prime is 423399437. The next prime is 423399463. The reversal of 423399456 is 654993324.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270805 + ... + 272363.

It is an arithmetic number, because the mean of its divisors is an integer number (8943480).

Almost surely, 2423399456 is an apocalyptic number.

423399456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423399456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643930560).

423399456 is an abundant number, since it is smaller than the sum of its proper divisors (864461664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

423399456 is a wasteful number, since it uses less digits than its factorization.

423399456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1628 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 423399456 is about 20576.6726173111. The cubic root of 423399456 is about 750.9022953821.

The spelling of 423399456 in words is "four hundred twenty-three million, three hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 41 46 48 69 72 82 92 96 123 138 144 164 184 207 246 276 288 328 368 369 414 492 552 656 736 738 828 943 984 1104 1312 1476 1559 1656 1886 1968 2208 2829 2952 3118 3312 3772 3936 4677 5658 5904 6236 6624 7544 8487 9354 11316 11808 12472 14031 15088 16974 18708 22632 24944 28062 30176 33948 35857 37416 45264 49888 56124 63919 67896 71714 74832 90528 107571 112248 127838 135792 143428 149664 191757 215142 224496 255676 271584 286856 322713 383514 430284 448992 511352 573712 575271 645426 767028 860568 1022704 1147424 1150542 1290852 1470137 1534056 1721136 2045408 2301084 2581704 2940274 3068112 3442272 4410411 4602168 5163408 5880548 6136224 8820822 9204336 10326816 11761096 13231233 17641644 18408672 23522192 26462466 35283288 47044384 52924932 70566576 105849864 141133152 211699728 423399456