455468800 has 54 divisors (see below), whose sum is σ = 1127372288. Its totient is φ = 182184960.

The previous prime is 455468789. The next prime is 455468807. The reversal of 455468800 is 8864554.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455468807) by changing a digit.

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, 29184 + ... + 41983.

Almost surely, 2^455468800 is an apocalyptic number.

455468800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455468800 is an abundant number, since it is smaller than the sum of its proper divisors (671903488).

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

455468800 is an equidigital number, since it uses as much as digits as its factorization.

455468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71193 (or 71174 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 455468800 is about 21341.7150201196. The cubic root of 455468800 is about 769.4012323761.

The spelling of 455468800 in words is "four hundred fifty-five million, four hundred sixty-eight thousand, eight hundred".