464886304 has 48 divisors (see below), whose sum is σ = 957737088. Its totient is φ = 221709312.

The previous prime is 464886283. The next prime is 464886329. The reversal of 464886304 is 403688464.

It is a super-2 number, since 2×464886304² = 432238551293560832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357784 + ... + 359080.

It is an arithmetic number, because the mean of its divisors is an integer number (19952856).

Almost surely, 2^464886304 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 464886304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478868544).

464886304 is an abundant number, since it is smaller than the sum of its proper divisors (492850784).

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

464886304 is a wasteful number, since it uses less digits than its factorization.

464886304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The square root of 464886304 is about 21561.2222288070. Note that the first 5 decimals coincide. The cubic root of 464886304 is about 774.6679418250.

The spelling of 464886304 in words is "four hundred sixty-four million, eight hundred eighty-six thousand, three hundred four".