468896 has 12 divisors (see below), whose sum is σ = 923202. Its totient is φ = 234432.

The previous prime is 468893. The next prime is 468899. The reversal of 468896 is 698864.

It is an interprime number because it is at equal distance from previous prime (468893) and next prime (468899).

It can be written as a sum of positive squares in only one way, i.e., 336400 + 132496 = 580^2 + 364^2 .

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (468893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7295 + ... + 7358.

2⁴⁶⁸⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

468896 is a deficient number, since it is larger than the sum of its proper divisors (454306).

468896 is a wasteful number, since it uses less digits than its factorization.

468896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14663 (or 14655 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 468896 is about 684.7598119049. The cubic root of 468896 is about 77.6888768063.

The spelling of 468896 in words is "four hundred sixty-eight thousand, eight hundred ninety-six".