465494904 has 256 divisors, whose sum is σ = 1547520000. Its totient is φ = 129548160.

The previous prime is 465494903. The next prime is 465494933. The reversal of 465494904 is 409494564.

It is a self number, because there is not a number n which added to its sum of digits gives 465494904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465494903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4519317 + ... + 4519419.

It is an arithmetic number, because the mean of its divisors is an integer number (6045000).

Almost surely, 2^465494904 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 465494904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773760000).

465494904 is an abundant number, since it is smaller than the sum of its proper divisors (1082025096).

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

465494904 is a wasteful number, since it uses less digits than its factorization.

465494904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 465494904 is about 21575.3309128736. The cubic root of 465494904 is about 775.0058433136.

The spelling of 465494904 in words is "four hundred sixty-five million, four hundred ninety-four thousand, nine hundred four".