256448430 has 160 divisors (see below), whose sum is σ = 814049280. Its totient is φ = 56687040.

The previous prime is 256448429. The next prime is 256448441. The reversal of 256448430 is 34844652.

256448430 is a `hidden beast` number, since 2 + 5 + 644 + 8 + 4 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175041 + ... + 176499.

It is an arithmetic number, because the mean of its divisors is an integer number (5087808).

Almost surely, 2^256448430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256448430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407024640).

256448430 is an abundant number, since it is smaller than the sum of its proper divisors (557600850).

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

256448430 is a wasteful number, since it uses less digits than its factorization.

256448430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1507 counting only the distinct ones).

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

The square root of 256448430 is about 16014.0073061055. The cubic root of 256448430 is about 635.3309536103.

The spelling of 256448430 in words is "two hundred fifty-six million, four hundred forty-eight thousand, four hundred thirty".