405941256 has 96 divisors (see below), whose sum is σ = 1283293440. Its totient is φ = 113508864.

The previous prime is 405941233. The next prime is 405941267. The reversal of 405941256 is 652149504.

405941256 is a `hidden beast` number, since 4 + 0 + 594 + 12 + 56 = 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 405941256.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15120 + ... + 32256.

It is an arithmetic number, because the mean of its divisors is an integer number (13367640).

Almost surely, 2^405941256 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 405941256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641646720).

405941256 is an abundant number, since it is smaller than the sum of its proper divisors (877352184).

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

405941256 is a wasteful number, since it uses less digits than its factorization.

405941256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17203 (or 17196 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 405941256 is about 20147.9839189930. The cubic root of 405941256 is about 740.4363484472.

The spelling of 405941256 in words is "four hundred five million, nine hundred forty-one thousand, two hundred fifty-six".