456720768 has 480 divisors, whose sum is σ = 1688385600. Its totient is φ = 121927680.

The previous prime is 456720767. The next prime is 456720809. The reversal of 456720768 is 867027654.

456720768 is a `hidden beast` number, since 4 + 567 + 20 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456720767) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14732913 + ... + 14732943.

It is an arithmetic number, because the mean of its divisors is an integer number (3517470).

Almost surely, 2^456720768 is an apocalyptic number.

456720768 is a gapful number since it is divisible by the number (48) 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 456720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844192800).

456720768 is an abundant number, since it is smaller than the sum of its proper divisors (1231664832).

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

456720768 is a wasteful number, since it uses less digits than its factorization.

456720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 456720768 is about 21371.0263674911. The cubic root of 456720768 is about 770.1055502690.

The spelling of 456720768 in words is "four hundred fifty-six million, seven hundred twenty thousand, seven hundred sixty-eight".