45796800 has 336 divisors, whose sum is σ = 181416960. Its totient is φ = 9891840.

The previous prime is 45796781. The next prime is 45796811. The reversal of 45796800 is 869754.

45796800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 974377 + ... + 974423.

Almost surely, 2^45796800 is an apocalyptic number.

45796800 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 45796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90708480).

45796800 is an abundant number, since it is smaller than the sum of its proper divisors (135620160).

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

45796800 is a wasteful number, since it uses less digits than its factorization.

45796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 45796800 is about 6767.3333004958. Note that the first 4 decimals coincide. The cubic root of 45796800 is about 357.7764175142.

The spelling of 45796800 in words is "forty-five million, seven hundred ninety-six thousand, eight hundred".