456096 has 24 divisors (see below), whose sum is σ = 1197504. Its totient is φ = 152000.

The previous prime is 456091. The next prime is 456107. The reversal of 456096 is 690654.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×456096² = 416047122432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (456091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2280 + ... + 2471.

It is an arithmetic number, because the mean of its divisors is an integer number (49896).

2⁴⁵⁶⁰⁹⁶ is an apocalyptic number.

It is an amenable number.

456096 is an abundant number, since it is smaller than the sum of its proper divisors (741408).

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

456096 is a wasteful number, since it uses less digits than its factorization.

456096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 456096 is about 675.3487987699. The cubic root of 456096 is about 76.9754236516.

It can be divided in two parts, 4560 and 96, that added together give a triangular number (4656 = T₉₆).

The spelling of 456096 in words is "four hundred fifty-six thousand, ninety-six".