256823424 has 192 divisors, whose sum is σ = 868795200. Its totient is φ = 71792640.

The previous prime is 256823419. The next prime is 256823443. The reversal of 256823424 is 424328652.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×256823424² = 131916542230167552, which contains 22 as substring.

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

It is a congruent number.

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, 163957 + ... + 165515.

It is an arithmetic number, because the mean of its divisors is an integer number (4524975).

Almost surely, 2^256823424 is an apocalyptic number.

256823424 is a gapful number since it is divisible by the number (24) 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 256823424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434397600).

256823424 is an abundant number, since it is smaller than the sum of its proper divisors (611971776).

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

256823424 is a wasteful number, since it uses less digits than its factorization.

256823424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1588 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 256823424 is about 16025.7113414663. The cubic root of 256823424 is about 635.6404755734.

The spelling of 256823424 in words is "two hundred fifty-six million, eight hundred twenty-three thousand, four hundred twenty-four".