455472014400 has 252 divisors, whose sum is σ = 1743383111652. Its totient is φ = 112116142080.

The previous prime is 455472014299. The next prime is 455472014477. The reversal of 455472014400 is 4410274554.

455472014400 is a `hidden beast` number, since 4 + 5 + 5 + 4 + 7 + 201 + 440 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 119174086656 + 336297927744 = 345216^2 + 579912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1029339 + ... + 1403738.

It is an arithmetic number, because the mean of its divisors is an integer number (6918186951).

Almost surely, 2^455472014400 is an apocalyptic number.

455472014400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455472014400 is an abundant number, since it is smaller than the sum of its proper divisors (1287911097252).

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

455472014400 is a wasteful number, since it uses less digits than its factorization.

455472014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433118 (or 2433100 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

Adding to 455472014400 its reverse (4410274554), we get a palindrome (459882288954).

The spelling of 455472014400 in words is "four hundred fifty-five billion, four hundred seventy-two million, fourteen thousand, four hundred".