400959 has 24 divisors (see below), whose sum is σ = 655200. Its totient is φ = 234432.

The previous prime is 400949. The next prime is 400963. The reversal of 400959 is 959004.

It is a happy number.

It is not a de Polignac number, because 400959 - 2⁴ = 400943 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400959.

It is not an unprimeable number, because it can be changed into a prime (400949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2617 + ... + 2765.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2⁴⁰⁰⁹⁵⁹ is an apocalyptic number.

400959 is a deficient number, since it is larger than the sum of its proper divisors (254241).

400959 is a wasteful number, since it uses less digits than its factorization.

400959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 400959 is about 633.2132342268. The cubic root of 400959 is about 73.7394660814.

It can be divided in two parts, 40095 and 9, that added together give a palindrome (40104).

The spelling of 400959 in words is "four hundred thousand, nine hundred fifty-nine".