45115920 has 80 divisors (see below), whose sum is σ = 155406720. Its totient is φ = 12030336.

The previous prime is 45115907. The next prime is 45115927. The reversal of 45115920 is 2951154.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45115927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8284 + ... + 12603.

It is an arithmetic number, because the mean of its divisors is an integer number (1942584).

Almost surely, 2^45115920 is an apocalyptic number.

45115920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45115920 is an abundant number, since it is smaller than the sum of its proper divisors (110290800).

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

45115920 is a wasteful number, since it uses less digits than its factorization.

45115920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20909 (or 20897 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 45115920 is about 6716.8385420524. The cubic root of 45115920 is about 355.9944871427.

The spelling of 45115920 in words is "forty-five million, one hundred fifteen thousand, nine hundred twenty".