256122432 has 224 divisors, whose sum is σ = 822960000. Its totient is φ = 77801472.

The previous prime is 256122431. The next prime is 256122439. The reversal of 256122432 is 234221652.

It is a happy number.

256122432 is a `hidden beast` number, since 2 + 5 + 612 + 2 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 256122396 and 256122405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256122431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951994 + ... + 952262.

Almost surely, 2^256122432 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 256122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411480000).

256122432 is an abundant number, since it is smaller than the sum of its proper divisors (566837568).

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

256122432 is a wasteful number, since it uses less digits than its factorization.

256122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 256122432 is about 16003.8255426632. The cubic root of 256122432 is about 635.0616279286.

The spelling of 256122432 in words is "two hundred fifty-six million, one hundred twenty-two thousand, four hundred thirty-two".