401956 has 9 divisors (see below), whose sum is σ = 705649. Its totient is φ = 200344.

The previous prime is 401953. The next prime is 401957. The reversal of 401956 is 659104.

The square root of 401956 is 634.

It is a perfect power (a square), and thus also a powerful number.

401956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 22500 + 379456 = 150^2 + 616^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 401956.

It is not an unprimeable number, because it can be changed into a prime (401953) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1110 + ... + 1426.

401956 is a Friedman number, since it can be written as (9+5^4)^(6^0+1), using all its digits and the basic arithmetic operations.

2⁴⁰¹⁹⁵⁶ is an apocalyptic number.

401956 is the 634-th square number.

It is an amenable number.

401956 is a deficient number, since it is larger than the sum of its proper divisors (303693).

401956 is an equidigital number, since it uses as much as digits as its factorization.

401956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The cubic root of 401956 is about 73.8005341677.

Multiplying 401956 by its sum of digits (25), we get a square (10048900 = 3170²).

The spelling of 401956 in words is "four hundred one thousand, nine hundred fifty-six".