456463504800 has 864 divisors, whose sum is σ = 1737602036352. Its totient is φ = 112352624640.

The previous prime is 456463504787. The next prime is 456463504813. The reversal of 456463504800 is 8405364654.

456463504800 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 63 + 504 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (456463504787) and next prime (456463504813).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 2733314317 + ... + 2733314483.

It is an arithmetic number, because the mean of its divisors is an integer number (2011113468).

Almost surely, 2^456463504800 is an apocalyptic number.

456463504800 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 456463504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868801018176).

456463504800 is an abundant number, since it is smaller than the sum of its proper divisors (1281138531552).

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

456463504800 is a wasteful number, since it uses less digits than its factorization.

456463504800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 456463504800 in words is "four hundred fifty-six billion, four hundred sixty-three million, five hundred four thousand, eight hundred".