45442560 has 160 divisors (see below), whose sum is σ = 149177952. Its totient is φ = 11796480.

The previous prime is 45442543. The next prime is 45442597. The reversal of 45442560 is 6524454.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 468432 + ... + 468528.

Almost surely, 2^45442560 is an apocalyptic number.

45442560 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 45442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74588976).

45442560 is an abundant number, since it is smaller than the sum of its proper divisors (103735392).

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

45442560 is an equidigital number, since it uses as much as digits as its factorization.

45442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 45442560 is about 6741.1097009320. The cubic root of 45442560 is about 356.8515573643.

The spelling of 45442560 in words is "forty-five million, four hundred forty-two thousand, five hundred sixty".