90450800 has 120 divisors (see below), whose sum is σ = 241664592. Its totient is φ = 32256000.

The previous prime is 90450781. The next prime is 90450803. The reversal of 90450800 is 805409.

It is a self number, because there is not a number n which added to its sum of digits gives 90450800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90450803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268232 + ... + 268568.

Almost surely, 2^90450800 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 90450800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120832296).

90450800 is an abundant number, since it is smaller than the sum of its proper divisors (151213792).

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

90450800 is a wasteful number, since it uses less digits than its factorization.

90450800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 90450800 is about 9510.5625490819. The cubic root of 90450800 is about 448.8874574706.

The spelling of 90450800 in words is "ninety million, four hundred fifty thousand, eight hundred".