464886864 has 200 divisors, whose sum is σ = 1486566312. Its totient is φ = 139345920.

The previous prime is 464886857. The next prime is 464886883. The reversal of 464886864 is 468688464.

464886864 is a `hidden beast` number, since 46 + 488 + 68 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13749264 + 451137600 = 3708^2 + 21240^2 .

It is a super-2 number, since 2×464886864² = 432239592639508992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 464886864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 690432 + ... + 691104.

Almost surely, 2^464886864 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 464886864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743283156).

464886864 is an abundant number, since it is smaller than the sum of its proper divisors (1021679448).

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

464886864 is a wasteful number, since it uses less digits than its factorization.

464886864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 732 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 464886864 is about 21561.2352150799. The cubic root of 464886864 is about 774.6682528788.

The spelling of 464886864 in words is "four hundred sixty-four million, eight hundred eighty-six thousand, eight hundred sixty-four".