45806600 has 48 divisors (see below), whose sum is σ = 121718400. Its totient is φ = 15704640.

The previous prime is 45806591. The next prime is 45806603. The reversal of 45806600 is 660854.

It is not an unprimeable number, because it can be changed into a prime (45806603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14960 + ... + 17759.

It is an arithmetic number, because the mean of its divisors is an integer number (2535800).

Almost surely, 2^45806600 is an apocalyptic number.

45806600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45806600 is an abundant number, since it is smaller than the sum of its proper divisors (75911800).

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

45806600 is a wasteful number, since it uses less digits than its factorization.

45806600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32742 (or 32733 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 45806600 is about 6768.0573283624. The cubic root of 45806600 is about 357.8019357369.

The spelling of 45806600 in words is "forty-five million, eight hundred six thousand, six hundred".