45589960 has 64 divisors (see below), whose sum is σ = 112074480. Its totient is φ = 16588800.

The previous prime is 45589939. The next prime is 45589961. The reversal of 45589960 is 6998554.

It can be written as a sum of positive squares in 8 ways, for example, as 1473796 + 44116164 = 1214^2 + 6642^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45589960.

It is not an unprimeable number, because it can be changed into a prime (45589961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37360 + ... + 38560.

Almost surely, 2^45589960 is an apocalyptic number.

45589960 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 45589960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56037240).

45589960 is an abundant number, since it is smaller than the sum of its proper divisors (66484520).

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

45589960 is a wasteful number, since it uses less digits than its factorization.

45589960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The square root of 45589960 is about 6752.0337676881. The cubic root of 45589960 is about 357.2369754233.

The spelling of 45589960 in words is "forty-five million, five hundred eighty-nine thousand, nine hundred sixty".