45460800 has 504 divisors, whose sum is σ = 206361792. Its totient is φ = 9216000.

The previous prime is 45460781. The next prime is 45460859. The reversal of 45460800 is 806454.

45460800 is a `hidden beast` number, since 4 + 54 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1108780 + ... + 1108820.

It is an arithmetic number, because the mean of its divisors is an integer number (409448).

Almost surely, 2^45460800 is an apocalyptic number.

45460800 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 45460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103180896).

45460800 is an abundant number, since it is smaller than the sum of its proper divisors (160900992).

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

45460800 is a wasteful number, since it uses less digits than its factorization.

45460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45460800 is about 6742.4624581825. The cubic root of 45460800 is about 356.8992960314.

The spelling of 45460800 in words is "forty-five million, four hundred sixty thousand, eight hundred".