456238656000 has 1600 divisors, whose sum is σ = 1868604401664. Its totient is φ = 110149632000.

The previous prime is 456238655959. The next prime is 456238656001. The reversal of 456238656000 is 656832654.

456238656000 is a `hidden beast` number, since 4 + 5 + 6 + 2 + 3 + 86 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×456238656000² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (456238656001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 2731967917 + ... + 2731968083.

Almost surely, 2^456238656000 is an apocalyptic number.

456238656000 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 456238656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934302200832).

456238656000 is an abundant number, since it is smaller than the sum of its proper divisors (1412365745664).

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

456238656000 is a wasteful number, since it uses less digits than its factorization.

456238656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 456238656000 in words is "four hundred fifty-six billion, two hundred thirty-eight million, six hundred fifty-six thousand".