45456800 has 36 divisors (see below), whose sum is σ = 110973366. Its totient is φ = 18182400.

The previous prime is 45456791. The next prime is 45456811. The reversal of 45456800 is 865454.

45456800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 31047184 + 14409616 = 5572^2 + 3796^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 5 ways as a sum of consecutive naturals, for example, 27611 + ... + 29210.

Almost surely, 2^45456800 is an apocalyptic number.

45456800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45456800 is an abundant number, since it is smaller than the sum of its proper divisors (65516566).

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

45456800 is a wasteful number, since it uses less digits than its factorization.

45456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56841 (or 56828 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 45456800 is about 6742.1658241251. The cubic root of 45456800 is about 356.8888281187. Note that the first 4 decimals are identical.

The spelling of 45456800 in words is "forty-five million, four hundred fifty-six thousand, eight hundred".