456896 has 42 divisors (see below), whose sum is σ = 1013460. Its totient is φ = 204160.

The previous prime is 456881. The next prime is 456899. The reversal of 456896 is 698654.

Its product of digits (51840) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (456899) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7715 + ... + 7773.

It is an arithmetic number, because the mean of its divisors is an integer number (24130).

2⁴⁵⁶⁸⁹⁶ 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 456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506730).

456896 is an abundant number, since it is smaller than the sum of its proper divisors (556564).

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

456896 is a wasteful number, since it uses less digits than its factorization.

456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 72 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 456896 is about 675.9408258124. The cubic root of 456896 is about 77.0204027567.

It can be divided in two parts, 4568 and 96, that added together give a palindrome (4664).

The spelling of 456896 in words is "four hundred fifty-six thousand, eight hundred ninety-six".