45990560 has 96 divisors (see below), whose sum is σ = 135499392. Its totient is φ = 14330880.

The previous prime is 45990551. The next prime is 45990599. The reversal of 45990560 is 6509954.

It is a super-2 number, since 2×45990560² = 4230263218227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10454 + ... + 14186.

It is an arithmetic number, because the mean of its divisors is an integer number (1411452).

Almost surely, 2^45990560 is an apocalyptic number.

45990560 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 45990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67749696).

45990560 is an abundant number, since it is smaller than the sum of its proper divisors (89508832).

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

45990560 is a wasteful number, since it uses less digits than its factorization.

45990560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 45990560 is about 6781.6340213845. The cubic root of 45990560 is about 358.2802753002.

It can be divided in two parts, 459 and 90560, that added together give a palindrome (91019).

The spelling of 45990560 in words is "forty-five million, nine hundred ninety thousand, five hundred sixty".