455604800 has 168 divisors, whose sum is σ = 1349288640. Its totient is φ = 147916800.

The previous prime is 455604731. The next prime is 455604803. The reversal of 455604800 is 8406554.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (455604803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211730 + ... + 213870.

It is an arithmetic number, because the mean of its divisors is an integer number (8031480).

Almost surely, 2^455604800 is an apocalyptic number.

455604800 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 455604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674644320).

455604800 is an abundant number, since it is smaller than the sum of its proper divisors (893683840).

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

455604800 is a wasteful number, since it uses less digits than its factorization.

455604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2174 counting only the distinct ones).

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

The square root of 455604800 is about 21344.9010304569. The cubic root of 455604800 is about 769.4778041446.

The spelling of 455604800 in words is "four hundred fifty-five million, six hundred four thousand, eight hundred".