900547200 has 384 divisors, whose sum is σ = 3769104000. Its totient is φ = 205701120.

The previous prime is 900547187. The next prime is 900547211. The reversal of 900547200 is 2745009.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604056 + ... + 605544.

It is an arithmetic number, because the mean of its divisors is an integer number (9815375).

Almost surely, 2^900547200 is an apocalyptic number.

900547200 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 900547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884552000).

900547200 is an abundant number, since it is smaller than the sum of its proper divisors (2868556800).

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

900547200 is a wasteful number, since it uses less digits than its factorization.

900547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 900547200 is about 30009.1186141813. The cubic root of 900547200 is about 965.6850174780.

The spelling of 900547200 in words is "nine hundred million, five hundred forty-seven thousand, two hundred".