468856512 has 140 divisors (see below), whose sum is σ = 1401470400. Its totient is φ = 154980864.

The previous prime is 468856511. The next prime is 468856517. The reversal of 468856512 is 215658864.

468856512 is a `hidden beast` number, since 4 + 6 + 88 + 56 + 512 = 666.

It is a super-2 number, since 2×468856512² = 439652857689612288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (468856511) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 772113 + ... + 772719.

Almost surely, 2^468856512 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 468856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700735200).

468856512 is an abundant number, since it is smaller than the sum of its proper divisors (932613888).

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

468856512 is a wasteful number, since it uses less digits than its factorization.

468856512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 761 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 468856512 is about 21653.0947441699. The cubic root of 468856512 is about 776.8669589302.

The spelling of 468856512 in words is "four hundred sixty-eight million, eight hundred fifty-six thousand, five hundred twelve".