456872 has 32 divisors (see below), whose sum is σ = 967680. Its totient is φ = 200640.

The previous prime is 456871. The next prime is 456877. The reversal of 456872 is 278654.

456872 = T₁₈₃ + T₁₈₄ + ... + T₂₀₆.

It is a super-3 number, since 3×456872³ = 286091452333100544, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456871) 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, 2297 + ... + 2487.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁴⁵⁶⁸⁷² 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 456872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

456872 is an abundant number, since it is smaller than the sum of its proper divisors (510808).

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

456872 is a wasteful number, since it uses less digits than its factorization.

456872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 456872 is about 675.9230725460. The cubic root of 456872 is about 77.0190541478.

The spelling of 456872 in words is "four hundred fifty-six thousand, eight hundred seventy-two".