456760720 has 80 divisors (see below), whose sum is σ = 1149926400. Its totient is φ = 167726592.

The previous prime is 456760697. The next prime is 456760729. The reversal of 456760720 is 27067654.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 456760720.

It is not an unprimeable number, because it can be changed into a prime (456760729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205857 + ... + 208063.

It is an arithmetic number, because the mean of its divisors is an integer number (14374080).

Almost surely, 2^456760720 is an apocalyptic number.

456760720 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 456760720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574963200).

456760720 is an abundant number, since it is smaller than the sum of its proper divisors (693165680).

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

456760720 is a wasteful number, since it uses less digits than its factorization.

456760720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 456760720 is about 21371.9610705242. The cubic root of 456760720 is about 770.1280048058.

The spelling of 456760720 in words is "four hundred fifty-six million, seven hundred sixty thousand, seven hundred twenty".