455416250400 has 432 divisors, whose sum is σ = 1706556976488. Its totient is φ = 113885184000.

The previous prime is 455416250389. The next prime is 455416250407. The reversal of 455416250400 is 4052614554.

455416250400 is a `hidden beast` number, since 4 + 5 + 541 + 62 + 50 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 255360430224 + 200055820176 = 505332^2 + 447276^2 .

It is a super-2 number, since 2×455416250400² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (455416250407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34387780 + ... + 34401020.

Almost surely, 2^455416250400 is an apocalyptic number.

455416250400 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 455416250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853278488244).

455416250400 is an abundant number, since it is smaller than the sum of its proper divisors (1251140726088).

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

455416250400 is a wasteful number, since it uses less digits than its factorization.

455416250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13565 (or 13549 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 455416250400 its reverse (4052614554), we get a palindrome (459468864954).

The spelling of 455416250400 in words is "four hundred fifty-five billion, four hundred sixteen million, two hundred fifty thousand, four hundred".