430868256 has 384 divisors, whose sum is σ = 1510096896. Its totient is φ = 104509440.

The previous prime is 430868231. The next prime is 430868267. The reversal of 430868256 is 652868034.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10020171 + ... + 10020213.

It is an arithmetic number, because the mean of its divisors is an integer number (3932544).

Almost surely, 2^430868256 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 430868256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755048448).

430868256 is an abundant number, since it is smaller than the sum of its proper divisors (1079228640).

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

430868256 is a wasteful number, since it uses less digits than its factorization.

430868256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 430868256 is about 20757.3663069282. The cubic root of 430868256 is about 755.2919099871.

The spelling of 430868256 in words is "four hundred thirty million, eight hundred sixty-eight thousand, two hundred fifty-six".