904400464 has 60 divisors (see below), whose sum is σ = 1931790420. Its totient is φ = 409868800.

The previous prime is 904400449. The next prime is 904400477. The reversal of 904400464 is 464004409.

It can be written as a sum of positive squares in 2 ways, for example, as 195776064 + 708624400 = 13992^2 + 26620^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1101174 + ... + 1101994.

It is an arithmetic number, because the mean of its divisors is an integer number (32196507).

Almost surely, 2^904400464 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 904400464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965895210).

904400464 is an abundant number, since it is smaller than the sum of its proper divisors (1027389956).

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

904400464 is a wasteful number, since it uses less digits than its factorization.

904400464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 904400464 is about 30073.2516366289. The cubic root of 904400464 is about 967.0603829947.

The spelling of 904400464 in words is "nine hundred four million, four hundred thousand, four hundred sixty-four".