456760 has 32 divisors (see below), whose sum is σ = 1083600. Its totient is φ = 172800.

The previous prime is 456737. The next prime is 456763. The reversal of 456760 is 67654.

456760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460 + ... + 1060.

2⁴⁵⁶⁷⁶⁰ is an apocalyptic number.

456760 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 456760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541800).

456760 is an abundant number, since it is smaller than the sum of its proper divisors (626840).

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

456760 is a wasteful number, since it uses less digits than its factorization.

456760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 456760 is about 675.8402178030. The cubic root of 456760 is about 77.0127600150.

The spelling of 456760 in words is "four hundred fifty-six thousand, seven hundred sixty".