90404800 has 42 divisors (see below), whose sum is σ = 222456248. Its totient is φ = 36161280.

The previous prime is 90404777. The next prime is 90404807. The reversal of 90404800 is 840409.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90404807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26652 + ... + 29851.

Almost surely, 2^90404800 is an apocalyptic number.

It is an amenable number.

90404800 is an abundant number, since it is smaller than the sum of its proper divisors (132051448).

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

90404800 is a wasteful number, since it uses less digits than its factorization.

90404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56525 (or 56510 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 90404800 is about 9508.1438777503. The cubic root of 90404800 is about 448.8113486009.

It can be divided in two parts, 90404 and 800, that added together give a square (91204 = 302²).

The spelling of 90404800 in words is "ninety million, four hundred four thousand, eight hundred".