256938435 has 48 divisors (see below), whose sum is σ = 488726784. Its totient is φ = 124091136.

The previous prime is 256938433. The next prime is 256938443. The reversal of 256938435 is 534839652.

256938435 is a `hidden beast` number, since 2 + 569 + 3 + 84 + 3 + 5 = 666.

It is not a de Polignac number, because 256938435 - 2¹ = 256938433 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (256938433) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26862 + ... + 35148.

It is an arithmetic number, because the mean of its divisors is an integer number (10181808).

Almost surely, 2^256938435 is an apocalyptic number.

256938435 is a deficient number, since it is larger than the sum of its proper divisors (231788349).

256938435 is a wasteful number, since it uses less digits than its factorization.

256938435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8364 (or 8361 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 256938435 is about 16029.2992672793. The cubic root of 256938435 is about 635.7353458615.

The spelling of 256938435 in words is "two hundred fifty-six million, nine hundred thirty-eight thousand, four hundred thirty-five".