45092160 has 224 divisors, whose sum is σ = 168981120. Its totient is φ = 11280384.

The previous prime is 45092153. The next prime is 45092207. The reversal of 45092160 is 6129054.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146727 + ... + 147033.

It is an arithmetic number, because the mean of its divisors is an integer number (754380).

Almost surely, 2^45092160 is an apocalyptic number.

45092160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84490560).

45092160 is an abundant number, since it is smaller than the sum of its proper divisors (123888960).

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

45092160 is a wasteful number, since it uses less digits than its factorization.

45092160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 45092160 is about 6715.0696198923. The cubic root of 45092160 is about 355.9319821237.

The spelling of 45092160 in words is "forty-five million, ninety-two thousand, one hundred sixty".