456720897600 has 840 divisors, whose sum is σ = 1840720728000. Its totient is φ = 110157926400.

The previous prime is 456720897599. The next prime is 456720897623. The reversal of 456720897600 is 6798027654.

456720897600 is a `hidden beast` number, since 4 + 5 + 6 + 7 + 20 + 8 + 9 + 7 + 600 = 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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 326461701 + ... + 326463099.

It is an arithmetic number, because the mean of its divisors is an integer number (2191334200).

Almost surely, 2^456720897600 is an apocalyptic number.

456720897600 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 456720897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920360364000).

456720897600 is an abundant number, since it is smaller than the sum of its proper divisors (1383999830400).

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

456720897600 is a wasteful number, since it uses less digits than its factorization.

456720897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 456720897600 in words is "four hundred fifty-six billion, seven hundred twenty million, eight hundred ninety-seven thousand, six hundred".