406272 has 54 divisors (see below), whose sum is σ = 1130332. Its totient is φ = 129536.

The previous prime is 406271. The next prime is 406309. The reversal of 406272 is 272604.

It is a happy number.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (406271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17653 + ... + 17675.

2⁴⁰⁶²⁷² 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 406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565166).

406272 is an abundant number, since it is smaller than the sum of its proper divisors (724060).

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

406272 is an equidigital number, since it uses as much as digits as its factorization.

406272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 406272 is about 637.3946971853. The cubic root of 406272 is about 74.0637386074.

Adding to 406272 its reverse (272604), we get a palindrome (678876).

The spelling of 406272 in words is "four hundred six thousand, two hundred seventy-two".