900874800 has 270 divisors, whose sum is σ = 3637411908. Its totient is φ = 205873920.

The previous prime is 900874783. The next prime is 900874847. The reversal of 900874800 is 8478009.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 173847 + ... + 178953.

Almost surely, 2^900874800 is an apocalyptic number.

900874800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900874800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818705954).

900874800 is an abundant number, since it is smaller than the sum of its proper divisors (2736537108).

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

900874800 is a wasteful number, since it uses less digits than its factorization.

900874800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 900874800 is about 30014.5764587808. The cubic root of 900874800 is about 965.8021018677.

The spelling of 900874800 in words is "nine hundred million, eight hundred seventy-four thousand, eight hundred".