45092880 has 240 divisors, whose sum is σ = 181059840. Its totient is φ = 9833472.

The previous prime is 45092849. The next prime is 45092953. The reversal of 45092880 is 8829054.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115726 + ... + 116114.

It is an arithmetic number, because the mean of its divisors is an integer number (754416).

Almost surely, 2^45092880 is an apocalyptic number.

45092880 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 45092880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90529920).

45092880 is an abundant number, since it is smaller than the sum of its proper divisors (135966960).

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

45092880 is a wasteful number, since it uses less digits than its factorization.

45092880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 45092880 is about 6715.1232304404. The cubic root of 45092880 is about 355.9338765377.

The spelling of 45092880 in words is "forty-five million, ninety-two thousand, eight hundred eighty".