900624648 has 256 divisors, whose sum is σ = 2949120000. Its totient is φ = 222393600.

The previous prime is 900624587. The next prime is 900624677. The reversal of 900624648 is 846426009.

It is a super-2 number, since 2×900624648² = 1622249513170247808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4525653 + ... + 4525851.

It is an arithmetic number, because the mean of its divisors is an integer number (11520000).

Almost surely, 2^900624648 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 900624648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474560000).

900624648 is an abundant number, since it is smaller than the sum of its proper divisors (2048495352).

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

900624648 is a wasteful number, since it uses less digits than its factorization.

900624648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 900624648 is about 30010.4089942140. The cubic root of 900624648 is about 965.7126999912.

The spelling of 900624648 in words is "nine hundred million, six hundred twenty-four thousand, six hundred forty-eight".