455856800 has 216 divisors, whose sum is σ = 1342531260. Its totient is φ = 150528000.

The previous prime is 455856799. The next prime is 455856809. The reversal of 455856800 is 8658554.

It can be written as a sum of positive squares in 6 ways, for example, as 322130704 + 133726096 = 17948^2 + 11564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455856809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1136600 + ... + 1137000.

Almost surely, 2^455856800 is an apocalyptic number.

455856800 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 455856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671265630).

455856800 is an abundant number, since it is smaller than the sum of its proper divisors (886674460).

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

455856800 is a wasteful number, since it uses less digits than its factorization.

455856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 41.

The square root of 455856800 is about 21350.8032635777. The cubic root of 455856800 is about 769.6196468605.

The spelling of 455856800 in words is "four hundred fifty-five million, eight hundred fifty-six thousand, eight hundred".