4456800 has 108 divisors (see below), whose sum is σ = 15741180. Its totient is φ = 1186560.

The previous prime is 4456799. The next prime is 4456819. The reversal of 4456800 is 86544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6891 + ... + 7509.

Almost surely, 2^4456800 is an apocalyptic number.

4456800 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 4456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7870590).

4456800 is an abundant number, since it is smaller than the sum of its proper divisors (11284380).

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

4456800 is a wasteful number, since it uses less digits than its factorization.

4456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 629 counting only the distinct ones).

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

The square root of 4456800 is about 2111.1134502911. The cubic root of 4456800 is about 164.5663544236.

The spelling of 4456800 in words is "four million, four hundred fifty-six thousand, eight hundred".