455430400 has 54 divisors (see below), whose sum is σ = 1127277242. Its totient is φ = 182169600.

The previous prime is 455430397. The next prime is 455430401. The reversal of 455430400 is 4034554.

It can be written as a sum of positive squares in 3 ways, for example, as 56070144 + 399360256 = 7488^2 + 19984^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (455430401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29181 + ... + 41980.

Almost surely, 2^455430400 is an apocalyptic number.

455430400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455430400 is an abundant number, since it is smaller than the sum of its proper divisors (671846842).

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

455430400 is an equidigital number, since it uses as much as digits as its factorization.

455430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71187 (or 71168 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 455430400 is about 21340.8153546204. The cubic root of 455430400 is about 769.3796093526.

Adding to 455430400 its reverse (4034554), we get a palindrome (459464954).

The spelling of 455430400 in words is "four hundred fifty-five million, four hundred thirty thousand, four hundred".