468872 has 32 divisors (see below), whose sum is σ = 950400. Its totient is φ = 216384.

The previous prime is 468869. The next prime is 468883. The reversal of 468872 is 278864.

468872 is nontrivially palindromic in base 14.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

468872 is an undulating number in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 468872.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9953 + ... + 9999.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2⁴⁶⁸⁸⁷² is an apocalyptic number.

It is an amenable number.

468872 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

468872 is a wasteful number, since it uses less digits than its factorization.

468872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 468872 is about 684.7422872877. The cubic root of 468872 is about 77.6875513063.

The spelling of 468872 in words is "four hundred sixty-eight thousand, eight hundred seventy-two".