456612 has 24 divisors (see below), whose sum is σ = 1147776. Its totient is φ = 140448.

The previous prime is 456611. The next prime is 456613. The reversal of 456612 is 216654.

456612 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (456611) and next prime (456613).

It is not an unprimeable number, because it can be changed into a prime (456611) 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, 1308 + ... + 1619.

It is an arithmetic number, because the mean of its divisors is an integer number (47824).

2⁴⁵⁶⁶¹² is an apocalyptic number.

It is an amenable number.

456612 is an abundant number, since it is smaller than the sum of its proper divisors (691164).

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

456612 is a wasteful number, since it uses less digits than its factorization.

456612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2945 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 456612 is about 675.7307155961. The cubic root of 456612 is about 77.0044411898.

It can be divided in two parts, 4 and 56612, that added together give a triangular number (56616 = T₃₃₆).

The spelling of 456612 in words is "four hundred fifty-six thousand, six hundred twelve".