406472 has 32 divisors (see below), whose sum is σ = 864000. Its totient is φ = 177600.

The previous prime is 406447. The next prime is 406481. The reversal of 406472 is 274604.

It is an unprimeable number.

406472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2654 + ... + 2802.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2⁴⁰⁶⁴⁷² 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 406472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

406472 is an abundant number, since it is smaller than the sum of its proper divisors (457528).

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

406472 is a wasteful number, since it uses less digits than its factorization.

406472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 406472 is about 637.5515665419. The cubic root of 406472 is about 74.0758900049.

It can be divided in two parts, 406 and 472, that added together give a palindrome (878).

The spelling of 406472 in words is "four hundred six thousand, four hundred seventy-two".