900604824 has 64 divisors (see below), whose sum is σ = 2579178240. Its totient is φ = 256713600.

The previous prime is 900604799. The next prime is 900604847. The reversal of 900604824 is 428406009.

900604824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×900604824² = 1622178098024141952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68374 + ... + 80474.

It is an arithmetic number, because the mean of its divisors is an integer number (40299660).

Almost surely, 2^900604824 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 900604824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289589120).

900604824 is an abundant number, since it is smaller than the sum of its proper divisors (1678573416).

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

900604824 is a wasteful number, since it uses less digits than its factorization.

900604824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12560 (or 12556 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 900604824 is about 30010.0787069944. The cubic root of 900604824 is about 965.7056143797.

The spelling of 900604824 in words is "nine hundred million, six hundred four thousand, eight hundred twenty-four".