455464800 has 324 divisors, whose sum is σ = 1869747516. Its totient is φ = 104025600.

The previous prime is 455464781. The next prime is 455464813. The reversal of 455464800 is 8464554.

455464800 is a `hidden beast` number, since 4 + 5 + 5 + 4 + 648 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 352155 + ... + 353445.

Almost surely, 2^455464800 is an apocalyptic number.

455464800 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 455464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934873758).

455464800 is an abundant number, since it is smaller than the sum of its proper divisors (1414282716).

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

455464800 is a wasteful number, since it uses less digits than its factorization.

455464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 455464800 is about 21341.6213067330. The cubic root of 455464800 is about 769.3989800345.

The spelling of 455464800 in words is "four hundred fifty-five million, four hundred sixty-four thousand, eight hundred".