456563995200 has 1344 divisors, whose sum is σ = 1842969542400. Its totient is φ = 109471334400.

The previous prime is 456563995193. The next prime is 456563995231. The reversal of 456563995200 is 2599365654.

It is a happy number.

456563995200 is a `hidden beast` number, since 4 + 56 + 5 + 63 + 9 + 9 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1776513472 + ... + 1776513728.

It is an arithmetic number, because the mean of its divisors is an integer number (1371257100).

Almost surely, 2^456563995200 is an apocalyptic number.

456563995200 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 456563995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921484771200).

456563995200 is an abundant number, since it is smaller than the sum of its proper divisors (1386405547200).

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

456563995200 is a wasteful number, since it uses less digits than its factorization.

456563995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 456563995200 in words is "four hundred fifty-six billion, five hundred sixty-three million, nine hundred ninety-five thousand, two hundred".