45382560 has 48 divisors (see below), whose sum is σ = 142956576. Its totient is φ = 12101888.

The previous prime is 45382559. The next prime is 45382591. The reversal of 45382560 is 6528354.

45382560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46794 + ... + 47753.

It is an arithmetic number, because the mean of its divisors is an integer number (2978262).

Almost surely, 2^45382560 is an apocalyptic number.

45382560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45382560 is an abundant number, since it is smaller than the sum of its proper divisors (97574016).

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

45382560 is a wasteful number, since it uses less digits than its factorization.

45382560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94565 (or 94557 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 45382560 is about 6736.6579251139. The cubic root of 45382560 is about 356.6944320928.

The spelling of 45382560 in words is "forty-five million, three hundred eighty-two thousand, five hundred sixty".