256905432 has 336 divisors, whose sum is σ = 897134400. Its totient is φ = 68584320.

The previous prime is 256905413. The next prime is 256905433. The reversal of 256905432 is 234509652.

256905432 is a `hidden beast` number, since 25 + 6 + 90 + 543 + 2 = 666.

It is a super-2 number, since 2×256905432² = 132000801982213248, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256905433) 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 83 ways as a sum of consecutive naturals, for example, 8287257 + ... + 8287287.

Almost surely, 2^256905432 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 256905432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448567200).

256905432 is an abundant number, since it is smaller than the sum of its proper divisors (640228968).

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

256905432 is a wasteful number, since it uses less digits than its factorization.

256905432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 256905432 is about 16028.2697756183. The cubic root of 256905432 is about 635.7081252395.

The spelling of 256905432 in words is "two hundred fifty-six million, nine hundred five thousand, four hundred thirty-two".