456160 has 24 divisors (see below), whose sum is σ = 1078056. Its totient is φ = 182400.

The previous prime is 456151. The next prime is 456167. The reversal of 456160 is 61654.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456167) by changing a digit.

456160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1266 + ... + 1585.

It is an arithmetic number, because the mean of its divisors is an integer number (44919).

2⁴⁵⁶¹⁶⁰ is an apocalyptic number.

456160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456160 is an abundant number, since it is smaller than the sum of its proper divisors (621896).

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

456160 is a wasteful number, since it uses less digits than its factorization.

456160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 456160 is about 675.3961800307. The cubic root of 456160 is about 76.9790239147.

It can be divided in two parts, 456 and 160, that added together give a palindrome (616).

The spelling of 456160 in words is "four hundred fifty-six thousand, one hundred sixty".