45884560 has 20 divisors (see below), whose sum is σ = 106681788. Its totient is φ = 18353792.

The previous prime is 45884539. The next prime is 45884567. The reversal of 45884560 is 6548854.

It can be written as a sum of positive squares in 2 ways, for example, as 33039504 + 12845056 = 5748^2 + 3584^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (45884567) 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, 286699 + ... + 286858.

Almost surely, 2^45884560 is an apocalyptic number.

45884560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45884560 is an abundant number, since it is smaller than the sum of its proper divisors (60797228).

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

45884560 is a wasteful number, since it uses less digits than its factorization.

45884560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573570 (or 573564 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 45884560 is about 6773.8142873864. The cubic root of 45884560 is about 358.0048062773.

The spelling of 45884560 in words is "forty-five million, eight hundred eighty-four thousand, five hundred sixty".