408272 has 40 divisors (see below), whose sum is σ = 892800. Its totient is φ = 179712.

The previous prime is 408271. The next prime is 408283. The reversal of 408272 is 272804.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408272.

It is not an unprimeable number, because it can be changed into a prime (408271) 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, 5129 + ... + 5207.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2⁴⁰⁸²⁷² 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 408272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446400).

408272 is an abundant number, since it is smaller than the sum of its proper divisors (484528).

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

408272 is a wasteful number, since it uses less digits than its factorization.

408272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 408272 is about 638.9616576916. The cubic root of 408272 is about 74.1850736341.

The spelling of 408272 in words is "four hundred eight thousand, two hundred seventy-two".