455254400 has 96 divisors (see below), whose sum is σ = 1135474200. Its totient is φ = 180346880.

The previous prime is 455254399. The next prime is 455254411. The reversal of 455254400 is 4452554.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 360971 + ... + 362229.

Almost surely, 2^455254400 is an apocalyptic number.

455254400 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 455254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567737100).

455254400 is an abundant number, since it is smaller than the sum of its proper divisors (680219800).

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

455254400 is a wasteful number, since it uses less digits than its factorization.

455254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 29.

The square root of 455254400 is about 21336.6914023707. The cubic root of 455254400 is about 769.2804882735.

The spelling of 455254400 in words is "four hundred fifty-five million, two hundred fifty-four thousand, four hundred".