45916800 has 96 divisors (see below), whose sum is σ = 151270080. Its totient is φ = 12241920.

The previous prime is 45916799. The next prime is 45916837. The reversal of 45916800 is 861954.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7209 + ... + 11991.

It is an arithmetic number, because the mean of its divisors is an integer number (1575730).

Almost surely, 2^45916800 is an apocalyptic number.

45916800 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 45916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75635040).

45916800 is an abundant number, since it is smaller than the sum of its proper divisors (105353280).

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

45916800 is a wasteful number, since it uses less digits than its factorization.

45916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4810 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 45916800 is about 6776.1936217909. The cubic root of 45916800 is about 358.0886352947.

The spelling of 45916800 in words is "forty-five million, nine hundred sixteen thousand, eight hundred".