455810400 has 432 divisors, whose sum is σ = 1736607600. Its totient is φ = 112250880.

The previous prime is 455810393. The next prime is 455810401. The reversal of 455810400 is 4018554.

455810400 is a `hidden beast` number, since 4 + 558 + 104 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455810401) 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, 7725571 + ... + 7725629.

It is an arithmetic number, because the mean of its divisors is an integer number (4019925).

Almost surely, 2^455810400 is an apocalyptic number.

455810400 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 455810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868303800).

455810400 is an abundant number, since it is smaller than the sum of its proper divisors (1280797200).

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

455810400 is a wasteful number, since it uses less digits than its factorization.

455810400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 455810400 is about 21349.7166257541. The cubic root of 455810400 is about 769.5935337161.

Adding to 455810400 its reverse (4018554), we get a palindrome (459828954).

The spelling of 455810400 in words is "four hundred fifty-five million, eight hundred ten thousand, four hundred".