456996 has 12 divisors (see below), whose sum is σ = 1066352. Its totient is φ = 152328.

The previous prime is 456991. The next prime is 457001. The reversal of 456996 is 699654.

456996 = T₁₄₁ + T₁₄₂ + ... + T₁₇₆.

It is an interprime number because it is at equal distance from previous prime (456991) and next prime (457001).

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (456991) 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, 19030 + ... + 19053.

2⁴⁵⁶⁹⁹⁶ is an apocalyptic number.

It is an amenable number.

456996 is an abundant number, since it is smaller than the sum of its proper divisors (609356).

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

456996 is a wasteful number, since it uses less digits than its factorization.

456996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38090 (or 38088 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 456996 is about 676.0147927376. The cubic root of 456996 is about 77.0260214521.

The spelling of 456996 in words is "four hundred fifty-six thousand, nine hundred ninety-six".