404260956 has 120 divisors (see below), whose sum is σ = 1190407680. Its totient is φ = 118519200.

The previous prime is 404260951. The next prime is 404260963. The reversal of 404260956 is 659062404.

404260956 is a `hidden beast` number, since 4 + 0 + 42 + 609 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 404260956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404260951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108655 + ... + 112313.

It is an arithmetic number, because the mean of its divisors is an integer number (9920064).

Almost surely, 2^404260956 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 404260956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595203840).

404260956 is an abundant number, since it is smaller than the sum of its proper divisors (786146724).

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

404260956 is a wasteful number, since it uses less digits than its factorization.

404260956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 404260956 is about 20106.2417174369. The cubic root of 404260956 is about 739.4133139011.

The spelling of 404260956 in words is "four hundred four million, two hundred sixty thousand, nine hundred fifty-six".