45082180 has 72 divisors (see below), whose sum is σ = 112144536. Its totient is φ = 15121920.

The previous prime is 45082159. The next prime is 45082199. The reversal of 45082180 is 8128054.

It can be written as a sum of positive squares in 4 ways, for example, as 4096576 + 40985604 = 2024^2 + 6402^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30744 + ... + 32176.

It is an arithmetic number, because the mean of its divisors is an integer number (1557563).

Almost surely, 2^45082180 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 45082180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56072268).

45082180 is an abundant number, since it is smaller than the sum of its proper divisors (67062356).

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

45082180 is a wasteful number, since it uses less digits than its factorization.

45082180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 45082180 is about 6714.3264740404. The cubic root of 45082180 is about 355.9057213629.

The spelling of 45082180 in words is "forty-five million, eighty-two thousand, one hundred eighty".