467872 has 12 divisors (see below), whose sum is σ = 921186. Its totient is φ = 233920.

The previous prime is 467869. The next prime is 467879. The reversal of 467872 is 278764.

It can be written as a sum of positive squares in only one way, i.e., 467856 + 16 = 684^2 + 4^2 .

It is not an unprimeable number, because it can be changed into a prime (467879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7279 + ... + 7342.

2⁴⁶⁷⁸⁷² is an apocalyptic number.

It is an amenable number.

467872 is a deficient number, since it is larger than the sum of its proper divisors (453314).

467872 is a wasteful number, since it uses less digits than its factorization.

467872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14631 (or 14623 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 467872 is about 684.0116958064. The cubic root of 467872 is about 77.6322818888.

It can be divided in two parts, 4 and 67872, that added together give a palindrome (67876).

The spelling of 467872 in words is "four hundred sixty-seven thousand, eight hundred seventy-two".