45058560 has 80 divisors (see below), whose sum is σ = 144071136. Its totient is φ = 12013568.

The previous prime is 45058543. The next prime is 45058567. The reversal of 45058560 is 6585054.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (45058567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4747 + ... + 10613.

Almost surely, 2^45058560 is an apocalyptic number.

45058560 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 45058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72035568).

45058560 is an abundant number, since it is smaller than the sum of its proper divisors (99012576).

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

45058560 is an equidigital number, since it uses as much as digits as its factorization.

45058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 45058560 is about 6712.5673180982. The cubic root of 45058560 is about 355.8435536971.

The spelling of 45058560 in words is "forty-five million, fifty-eight thousand, five hundred sixty".