45291120 has 80 divisors (see below), whose sum is σ = 160465920. Its totient is φ = 10351872.

The previous prime is 45291109. The next prime is 45291131. The reversal of 45291120 is 2119254.

It is an interprime number because it is at equal distance from previous prime (45291109) and next prime (45291131).

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 (24).

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, 11800 + ... + 15159.

It is an arithmetic number, because the mean of its divisors is an integer number (2005824).

Almost surely, 2^45291120 is an apocalyptic number.

45291120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45291120 is an abundant number, since it is smaller than the sum of its proper divisors (115174800).

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

45291120 is a wasteful number, since it uses less digits than its factorization.

45291120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26982 (or 26976 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 45291120 is about 6729.8677550157. The cubic root of 45291120 is about 356.4547066036.

The spelling of 45291120 in words is "forty-five million, two hundred ninety-one thousand, one hundred twenty".