90475200 has 252 divisors, whose sum is σ = 330015088. Its totient is φ = 23500800.

The previous prime is 90475199. The next prime is 90475213. The reversal of 90475200 is 257409.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 878349 + ... + 878451.

Almost surely, 2^90475200 is an apocalyptic number.

90475200 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 90475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165007544).

90475200 is an abundant number, since it is smaller than the sum of its proper divisors (239539888).

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

90475200 is a wasteful number, since it uses less digits than its factorization.

90475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

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

The square root of 90475200 is about 9511.8452468488. The cubic root of 90475200 is about 448.9278177888.

The spelling of 90475200 in words is "ninety million, four hundred seventy-five thousand, two hundred".