900051264 has 280 divisors, whose sum is σ = 3230758080. Its totient is φ = 241864704.

The previous prime is 900051193. The next prime is 900051277. The reversal of 900051264 is 462150009.

900051264 is a `hidden beast` number, since 90 + 0 + 0 + 512 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 616167 + ... + 617625.

Almost surely, 2^900051264 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 900051264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615379040).

900051264 is an abundant number, since it is smaller than the sum of its proper divisors (2330706816).

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

900051264 is a wasteful number, since it uses less digits than its factorization.

900051264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 900051264 is about 30000.8543878337. The cubic root of 900051264 is about 965.5077156827.

The spelling of 900051264 in words is "nine hundred million, fifty-one thousand, two hundred sixty-four".