45892160 has 28 divisors (see below), whose sum is σ = 109281468. Its totient is φ = 18356736.

The previous prime is 45892141. The next prime is 45892169. The reversal of 45892160 is 6129854.

It can be written as a sum of positive squares in 2 ways, for example, as 34386496 + 11505664 = 5864^2 + 3392^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45892160.

It is not an unprimeable number, because it can be changed into a prime (45892169) 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, 71387 + ... + 72026.

Almost surely, 2^45892160 is an apocalyptic number.

45892160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45892160 is an abundant number, since it is smaller than the sum of its proper divisors (63389308).

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

45892160 is a wasteful number, since it uses less digits than its factorization.

45892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143430 (or 143420 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 45892160 is about 6774.3752479472. The cubic root of 45892160 is about 358.0245709965.

The spelling of 45892160 in words is "forty-five million, eight hundred ninety-two thousand, one hundred sixty".