45927180 has 144 divisors (see below), whose sum is σ = 158077920. Its totient is φ = 10699776.

The previous prime is 45927179. The next prime is 45927181. The reversal of 45927180 is 8172954.

45927180 is a `hidden beast` number, since 459 + 27 + 180 = 666.

45927180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45927179) and next prime (45927181).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (45927181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43944 + ... + 44976.

Almost surely, 2^45927180 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 45927180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79038960).

45927180 is an abundant number, since it is smaller than the sum of its proper divisors (112150740).

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

45927180 is a wasteful number, since it uses less digits than its factorization.

45927180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 45927180 is about 6776.9594952309. The cubic root of 45927180 is about 358.1156165592.

The spelling of 45927180 in words is "forty-five million, nine hundred twenty-seven thousand, one hundred eighty".