45918160 has 20 divisors (see below), whose sum is σ = 106759908. Its totient is φ = 18367232.

The previous prime is 45918133. The next prime is 45918167. The reversal of 45918160 is 6181954.

It can be written as a sum of positive squares in 2 ways, for example, as 13927824 + 31990336 = 3732^2 + 5656^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45918167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 286909 + ... + 287068.

Almost surely, 2^45918160 is an apocalyptic number.

45918160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45918160 is an abundant number, since it is smaller than the sum of its proper divisors (60841748).

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

45918160 is a wasteful number, since it uses less digits than its factorization.

45918160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573990 (or 573984 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 45918160 is about 6776.2939723716. The cubic root of 45918160 is about 358.0921706437.

The spelling of 45918160 in words is "forty-five million, nine hundred eighteen thousand, one hundred sixty".