404968256 has 112 divisors (see below), whose sum is σ = 1029443712. Its totient is φ = 153446400.

The previous prime is 404968253. The next prime is 404968279. The reversal of 404968256 is 652869404.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404968253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181226 + ... + 183446.

Almost surely, 2^404968256 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 404968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514721856).

404968256 is an abundant number, since it is smaller than the sum of its proper divisors (624475456).

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

404968256 is a wasteful number, since it uses less digits than its factorization.

404968256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 404968256 is about 20123.8230960223. The cubic root of 404968256 is about 739.8442915630.

It can be divided in two parts, 404968 and 256, that added together give a cube (405224 = 74³).

The spelling of 404968256 in words is "four hundred four million, nine hundred sixty-eight thousand, two hundred fifty-six".