456672 has 48 divisors (see below), whose sum is σ = 1233792. Its totient is φ = 147840.

The previous prime is 456653. The next prime is 456679. The reversal of 456672 is 276654.

It is a tau number, because it is divible by the number of its divisors (48).

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 456672.

It is not an unprimeable number, because it can be changed into a prime (456679) by changing a digit.

456672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6397 + ... + 6467.

It is an arithmetic number, because the mean of its divisors is an integer number (25704).

2⁴⁵⁶⁶⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896).

456672 is an abundant number, since it is smaller than the sum of its proper divisors (777120).

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

456672 is a wasteful number, since it uses less digits than its factorization.

456672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 456672 is about 675.7751105212. The cubic root of 456672 is about 77.0078139032.

It can be divided in two parts, 456 and 672, that added together give a triangular number (1128 = T₄₇).

The spelling of 456672 in words is "four hundred fifty-six thousand, six hundred seventy-two".