45585180 has 120 divisors (see below), whose sum is σ = 150630480. Its totient is φ = 11508480.

The previous prime is 45585179. The next prime is 45585191. The reversal of 45585180 is 8158554.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30040 + ... + 31520.

It is an arithmetic number, because the mean of its divisors is an integer number (1255254).

Almost surely, 2^45585180 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 45585180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75315240).

45585180 is an abundant number, since it is smaller than the sum of its proper divisors (105045300).

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

45585180 is a wasteful number, since it uses less digits than its factorization.

45585180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 45585180 is about 6751.6797909854. The cubic root of 45585180 is about 357.2244898349.

It can be divided in two parts, 45 and 585180, that added together give a square (585225 = 765²).

The spelling of 45585180 in words is "forty-five million, five hundred eighty-five thousand, one hundred eighty".