45328800 has 288 divisors, whose sum is σ = 172113984. Its totient is φ = 10240000.

The previous prime is 45328799. The next prime is 45328823. The reversal of 45328800 is 882354.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 448750 + ... + 448850.

It is an arithmetic number, because the mean of its divisors is an integer number (597618).

Almost surely, 2^45328800 is an apocalyptic number.

45328800 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 45328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86056992).

45328800 is an abundant number, since it is smaller than the sum of its proper divisors (126785184).

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

45328800 is a wasteful number, since it uses less digits than its factorization.

45328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 45328800 is about 6732.6666336601. Note that the first 4 decimals coincide. The cubic root of 45328800 is about 356.5535301725.

The spelling of 45328800 in words is "forty-five million, three hundred twenty-eight thousand, eight hundred".