404256864 has 192 divisors, whose sum is σ = 1222760448. Its totient is φ = 115814400.

The previous prime is 404256851. The next prime is 404256869. The reversal of 404256864 is 468652404.

It is a super-2 number, since 2×404256864² = 326847224182228992, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404256869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1734892 + ... + 1735124.

It is an arithmetic number, because the mean of its divisors is an integer number (6368544).

Almost surely, 2^404256864 is an apocalyptic number.

404256864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404256864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611380224).

404256864 is an abundant number, since it is smaller than the sum of its proper divisors (818503584).

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

404256864 is a wasteful number, since it uses less digits than its factorization.

404256864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 404256864 is about 20106.1399577343. The cubic root of 404256864 is about 739.4108190691.

It can be divided in two parts, 4042 and 56864, that added together give a palindrome (60906).

The spelling of 404256864 in words is "four hundred four million, two hundred fifty-six thousand, eight hundred sixty-four".