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466440 = 233513223
BaseRepresentation
bin1110001111000001000
3212200211120
41301320020
5104411230
613555240
73651612
oct1617010
9780746
10466440
11299497
121a5b20
13134400
14c1db2
1593310
hex71e08

466440 has 96 divisors (see below), whose sum is σ = 1581120. Its totient is φ = 109824.

The previous prime is 466423. The next prime is 466441. The reversal of 466440 is 44664.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 466440.

It is not an unprimeable number, because it can be changed into a prime (466441) by changing a digit.

466440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20269 + ... + 20291.

It is an arithmetic number, because the mean of its divisors is an integer number (16470).

2466440 is an apocalyptic number.

466440 is a gapful number since it is divisible by the number (40) 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 466440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790560).

466440 is an abundant number, since it is smaller than the sum of its proper divisors (1114680).

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

466440 is a wasteful number, since it uses less digits than its factorization.

466440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 466440 is about 682.9641279013. The cubic root of 466440 is about 77.5529987812.

The spelling of 466440 in words is "four hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 169 184 195 230 260 276 299 312 338 345 390 460 507 520 552 598 676 690 780 845 897 920 1014 1196 1352 1380 1495 1560 1690 1794 2028 2392 2535 2760 2990 3380 3588 3887 4056 4485 5070 5980 6760 7176 7774 8970 10140 11661 11960 15548 17940 19435 20280 23322 31096 35880 38870 46644 58305 77740 93288 116610 155480 233220 466440