406572 has 24 divisors (see below), whose sum is σ = 1004976. Its totient is φ = 127488.

The previous prime is 406561. The next prime is 406573. The reversal of 406572 is 275604.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (406573) 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, 793 + ... + 1200.

It is an arithmetic number, because the mean of its divisors is an integer number (41874).

2⁴⁰⁶⁵⁷² is an apocalyptic number.

It is an amenable number.

406572 is an abundant number, since it is smaller than the sum of its proper divisors (598404).

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

406572 is a wasteful number, since it uses less digits than its factorization.

406572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 406572 is about 637.6299867478. The cubic root of 406572 is about 74.0819642089.

It can be divided in two parts, 406 and 572, that multiplied together give a palindrome (232232).

The spelling of 406572 in words is "four hundred six thousand, five hundred seventy-two".