45910560 has 96 divisors (see below), whose sum is σ = 146204352. Its totient is φ = 12108800.

The previous prime is 45910559. The next prime is 45910583. The reversal of 45910560 is 6501954.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 48007 + ... + 48953.

It is an arithmetic number, because the mean of its divisors is an integer number (1522962).

Almost surely, 2^45910560 is an apocalyptic number.

45910560 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 45910560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73102176).

45910560 is an abundant number, since it is smaller than the sum of its proper divisors (100293792).

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

45910560 is a wasteful number, since it uses less digits than its factorization.

45910560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 45910560 is about 6775.7331706613. The cubic root of 45910560 is about 358.0724133867.

The spelling of 45910560 in words is "forty-five million, nine hundred ten thousand, five hundred sixty".