406205256 has 64 divisors (see below), whose sum is σ = 1081080000. Its totient is φ = 126821376.

The previous prime is 406205249. The next prime is 406205273. The reversal of 406205256 is 652502604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35580 + ... + 45588.

It is an arithmetic number, because the mean of its divisors is an integer number (16891875).

Almost surely, 2^406205256 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 406205256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540540000).

406205256 is an abundant number, since it is smaller than the sum of its proper divisors (674874744).

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

406205256 is a wasteful number, since it uses less digits than its factorization.

406205256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10126 (or 10122 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 406205256 is about 20154.5343781493. The cubic root of 406205256 is about 740.5968255550.

The spelling of 406205256 in words is "four hundred six million, two hundred five thousand, two hundred fifty-six".