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468399976 = 2311139149257
BaseRepresentation
bin11011111010110…
…011011101101000
31012122101011222021
4123322303131220
51424402244401
6114251234224
714415222412
oct3372633550
91178334867
10468399976
11220443920
12110a48974
137606ca65
14462cb9b2
152b1c52a1
hex1beb3768

468399976 has 64 divisors (see below), whose sum is σ = 975240000. Its totient is φ = 209141760.

The previous prime is 468399973. The next prime is 468400001. The reversal of 468399976 is 679993864.

It is not an unprimeable number, because it can be changed into a prime (468399973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1822440 + ... + 1822696.

It is an arithmetic number, because the mean of its divisors is an integer number (15238125).

Almost surely, 2468399976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468399976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487620000).

468399976 is an abundant number, since it is smaller than the sum of its proper divisors (506840024).

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

468399976 is a wasteful number, since it uses less digits than its factorization.

468399976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 61.

The square root of 468399976 is about 21642.5501270068. The cubic root of 468399976 is about 776.6147261730.

The spelling of 468399976 in words is "four hundred sixty-eight million, three hundred ninety-nine thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 22 44 88 139 149 257 278 298 514 556 596 1028 1112 1192 1529 1639 2056 2827 3058 3278 5654 6116 6556 11308 12232 13112 20711 22616 35723 38293 41422 71446 76586 82844 142892 153172 165688 227821 285784 306344 392953 421223 455642 785906 842446 911284 1571812 1684892 1822568 3143624 3369784 5322727 10645454 21290908 42581816 58549997 117099994 234199988 468399976