406056 has 32 divisors (see below), whose sum is σ = 1160640. Its totient is φ = 115968.

The previous prime is 406037. The next prime is 406067. The reversal of 406056 is 650604.

It is a super-3 number, since 3×406056³ = 200853336803470848, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

406056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1041 + ... + 1376.

It is an arithmetic number, because the mean of its divisors is an integer number (36270).

2⁴⁰⁶⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

406056 is an abundant number, since it is smaller than the sum of its proper divisors (754584).

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

406056 is a wasteful number, since it uses less digits than its factorization.

406056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 406056 is about 637.2252349052. The cubic root of 406056 is about 74.0506106180.

The spelling of 406056 in words is "four hundred six thousand, fifty-six".