256842252 has 72 divisors (see below), whose sum is σ = 681080400. Its totient is φ = 84623616.

The previous prime is 256842227. The next prime is 256842301. The reversal of 256842252 is 252248652.

256842252 is a `hidden beast` number, since 2 + 568 + 42 + 2 + 52 = 666.

256842252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85024 + ... + 87992.

It is an arithmetic number, because the mean of its divisors is an integer number (9459450).

Almost surely, 2^256842252 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 256842252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340540200).

256842252 is an abundant number, since it is smaller than the sum of its proper divisors (424238148).

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

256842252 is a wasteful number, since it uses less digits than its factorization.

256842252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3063 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 256842252 is about 16026.2987617229. The cubic root of 256842252 is about 635.6560083549.

It can be divided in two parts, 256 and 842252, that multiplied together give a palindrome (215616512).

The spelling of 256842252 in words is "two hundred fifty-six million, eight hundred forty-two thousand, two hundred fifty-two".