455584400 has 30 divisors (see below), whose sum is σ = 1094542482. Its totient is φ = 182233600.

The previous prime is 455584399. The next prime is 455584439. The reversal of 455584400 is 4485554.

It can be written as a sum of positive squares in 3 ways, for example, as 6822544 + 448761856 = 2612^2 + 21184^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 569081 + ... + 569880.

Almost surely, 2^455584400 is an apocalyptic number.

455584400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455584400 is an abundant number, since it is smaller than the sum of its proper divisors (638958082).

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

455584400 is a wasteful number, since it uses less digits than its factorization.

455584400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138979 (or 1138968 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

The square root of 455584400 is about 21344.4231592236. The cubic root of 455584400 is about 769.4663193508.

The spelling of 455584400 in words is "four hundred fifty-five million, five hundred eighty-four thousand, four hundred".