455532800 has 108 divisors (see below), whose sum is σ = 1139601540. Its totient is φ = 180264960.

The previous prime is 455532797. The next prime is 455532821. The reversal of 455532800 is 8235554.

It can be written as a sum of positive squares in 6 ways, for example, as 14868736 + 440664064 = 3856^2 + 20992^2 .

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 697274 + ... + 697926.

Almost surely, 2^455532800 is an apocalyptic number.

455532800 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 455532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569800770).

455532800 is an abundant number, since it is smaller than the sum of its proper divisors (684068740).

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

455532800 is a wasteful number, since it uses less digits than its factorization.

455532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 455532800 is about 21343.2143783452. The cubic root of 455532800 is about 769.4372680479.

The spelling of 455532800 in words is "four hundred fifty-five million, five hundred thirty-two thousand, eight hundred".