455412400 has 60 divisors (see below), whose sum is σ = 1110523912. Its totient is φ = 179435520.

The previous prime is 455412343. The next prime is 455412401. The reversal of 455412400 is 4214554.

It is a happy number.

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 (455412401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18304 + ... + 35296.

Almost surely, 2^455412400 is an apocalyptic number.

455412400 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 455412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555261956).

455412400 is an abundant number, since it is smaller than the sum of its proper divisors (655111512).

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

455412400 is a wasteful number, since it uses less digits than its factorization.

455412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17078 (or 17067 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 455412400 is about 21340.3936233613. The cubic root of 455412400 is about 769.3694731419.

Adding to 455412400 its reverse (4214554), we get a palindrome (459626954).

The spelling of 455412400 in words is "four hundred fifty-five million, four hundred twelve thousand, four hundred".