45208800 has 576 divisors, whose sum is σ = 209986560. Its totient is φ = 9123840.

The previous prime is 45208799. The next prime is 45208817. The reversal of 45208800 is 880254.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1965589 + ... + 1965611.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 2^45208800 is an apocalyptic number.

45208800 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 45208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

45208800 is an abundant number, since it is smaller than the sum of its proper divisors (164777760).

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

45208800 is a wasteful number, since it uses less digits than its factorization.

45208800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 45208800 is about 6723.7489542665. The cubic root of 45208800 is about 356.2386145946.

The spelling of 45208800 in words is "forty-five million, two hundred eight thousand, eight hundred".