45198920 has 64 divisors (see below), whose sum is σ = 115985520. Its totient is φ = 15704064.

The previous prime is 45198911. The next prime is 45198931. The reversal of 45198920 is 2989154.

It can be written as a sum of positive squares in 8 ways, for example, as 4571044 + 40627876 = 2138^2 + 6374^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6284 + ... + 11396.

Almost surely, 2^45198920 is an apocalyptic number.

45198920 is a gapful number since it is divisible by the number (40) 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 45198920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57992760).

45198920 is an abundant number, since it is smaller than the sum of its proper divisors (70786600).

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

45198920 is a wasteful number, since it uses less digits than its factorization.

45198920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 45198920 is about 6723.0142049530. The cubic root of 45198920 is about 356.2126617275.

The spelling of 45198920 in words is "forty-five million, one hundred ninety-eight thousand, nine hundred twenty".