456942864000 has 512 divisors, whose sum is σ = 1833016573440. Its totient is φ = 98299084800.

The previous prime is 456942863969. The next prime is 456942864047. The reversal of 456942864000 is 468249654.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5672002 + ... + 5751998.

It is an arithmetic number, because the mean of its divisors is an integer number (3580110495).

Almost surely, 2^456942864000 is an apocalyptic number.

456942864000 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 456942864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916508286720).

456942864000 is an abundant number, since it is smaller than the sum of its proper divisors (1376073709440).

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

456942864000 is a wasteful number, since it uses less digits than its factorization.

456942864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80053 (or 80031 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 456942864000 in words is "four hundred fifty-six billion, nine hundred forty-two million, eight hundred sixty-four thousand".