464315904 has 240 divisors, whose sum is σ = 1510340832. Its totient is φ = 136249344.

The previous prime is 464315893. The next prime is 464315909. The reversal of 464315904 is 409513464.

464315904 is a `hidden beast` number, since 4 + 64 + 3 + 1 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464315909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1377624 + ... + 1377960.

Almost surely, 2^464315904 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 464315904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755170416).

464315904 is an abundant number, since it is smaller than the sum of its proper divisors (1046024928).

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

464315904 is a wasteful number, since it uses less digits than its factorization.

464315904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 464315904 is about 21547.9907183941. The cubic root of 464315904 is about 774.3509815750.

The spelling of 464315904 in words is "four hundred sixty-four million, three hundred fifteen thousand, nine hundred four".