900075904 has 256 divisors, whose sum is σ = 2399040000. Its totient is φ = 333268992.

The previous prime is 900075887. The next prime is 900075907. The reversal of 900075904 is 409570009.

It is a super-2 number, since 2×900075904² = 1620273265922834432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 900075904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900075907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10844247 + ... + 10844329.

It is an arithmetic number, because the mean of its divisors is an integer number (9371250).

Almost surely, 2^900075904 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 900075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199520000).

900075904 is an abundant number, since it is smaller than the sum of its proper divisors (1498964096).

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

900075904 is a wasteful number, since it uses less digits than its factorization.

900075904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 900075904 is about 30001.2650399946. The cubic root of 900075904 is about 965.5165262523.

The spelling of 900075904 in words is "nine hundred million, seventy-five thousand, nine hundred four".