456560 has 40 divisors (see below), whose sum is σ = 1145760. Its totient is φ = 168192.

The previous prime is 456559. The next prime is 456571. The reversal of 456560 is 65654.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 821 + ... + 1259.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2⁴⁵⁶⁵⁶⁰ is an apocalyptic number.

456560 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 456560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572880).

456560 is an abundant number, since it is smaller than the sum of its proper divisors (689200).

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

456560 is a wasteful number, since it uses less digits than its factorization.

456560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 456560 is about 675.6922376349. The cubic root of 456560 is about 77.0015179326.

The spelling of 456560 in words is "four hundred fifty-six thousand, five hundred sixty".