900344904 has 64 divisors (see below), whose sum is σ = 2403648000. Its totient is φ = 280412160.

The previous prime is 900344903. The next prime is 900344923. The reversal of 900344904 is 409443009.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (900344903) 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 15 ways as a sum of consecutive naturals, for example, 712 + ... + 42440.

It is an arithmetic number, because the mean of its divisors is an integer number (37557000).

Almost surely, 2^900344904 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 900344904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201824000).

900344904 is an abundant number, since it is smaller than the sum of its proper divisors (1503303096).

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

900344904 is a wasteful number, since it uses less digits than its factorization.

900344904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41798 (or 41794 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 900344904 is about 30005.7478493705. The cubic root of 900344904 is about 965.6127026136.

The spelling of 900344904 in words is "nine hundred million, three hundred forty-four thousand, nine hundred four".