45882560 has 56 divisors (see below), whose sum is σ = 110215680. Its totient is φ = 18192384.

The previous prime is 45882559. The next prime is 45882601. The reversal of 45882560 is 6528854.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40076 + ... + 41204.

Almost surely, 2^45882560 is an apocalyptic number.

45882560 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 45882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55107840).

45882560 is an abundant number, since it is smaller than the sum of its proper divisors (64333120).

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

45882560 is a wasteful number, since it uses less digits than its factorization.

45882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 45882560 is about 6773.6666584650. Note that the first 4 decimals coincide. The cubic root of 45882560 is about 357.9996046727. Note that the first 3 decimals are identical.

The spelling of 45882560 in words is "forty-five million, eight hundred eighty-two thousand, five hundred sixty".