468272 has 40 divisors (see below), whose sum is σ = 1074336. Its totient is φ = 193536.

The previous prime is 468271. The next prime is 468277. The reversal of 468272 is 272864.

468272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (468271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4088 + ... + 4200.

2⁴⁶⁸²⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537168).

468272 is an abundant number, since it is smaller than the sum of its proper divisors (606064).

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

468272 is a wasteful number, since it uses less digits than its factorization.

468272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 468272 is about 684.3040260001. The cubic root of 468272 is about 77.6543990972.

The spelling of 468272 in words is "four hundred sixty-eight thousand, two hundred seventy-two".