256524642 has 96 divisors (see below), whose sum is σ = 627441984. Its totient is φ = 75081600.

The previous prime is 256524623. The next prime is 256524661. The reversal of 256524642 is 246425652.

256524642 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 2 + 4 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (256524623) and next prime (256524661).

It is a junction number, because it is equal to n+sod(n) for n = 256524597 and 256524606.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809068 + ... + 809384.

It is an arithmetic number, because the mean of its divisors is an integer number (6535854).

Almost surely, 2^256524642 is an apocalyptic number.

256524642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 256524642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313720992).

256524642 is an abundant number, since it is smaller than the sum of its proper divisors (370917342).

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

256524642 is a wasteful number, since it uses less digits than its factorization.

256524642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 461 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 256524642 is about 16016.3866711565. The cubic root of 256524642 is about 635.3938838024.

The spelling of 256524642 in words is "two hundred fifty-six million, five hundred twenty-four thousand, six hundred forty-two".