45580800 has 120 divisors (see below), whose sum is σ = 150700176. Its totient is φ = 12144640.

The previous prime is 45580789. The next prime is 45580811. The reversal of 45580800 is 808554.

It is an interprime number because it is at equal distance from previous prime (45580789) and next prime (45580811).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37807 + ... + 38993.

Almost surely, 2^45580800 is an apocalyptic number.

45580800 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 45580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75350088).

45580800 is an abundant number, since it is smaller than the sum of its proper divisors (105119376).

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

45580800 is a wasteful number, since it uses less digits than its factorization.

45580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 45580800 is about 6751.3554194695. The cubic root of 45580800 is about 357.2130482993.

The spelling of 45580800 in words is "forty-five million, five hundred eighty thousand, eight hundred".