256242000 has 160 divisors (see below), whose sum is σ = 944296704. Its totient is φ = 58560000.

The previous prime is 256241977. The next prime is 256242023. The reversal of 256242000 is 242652.

256242000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256241977) and next prime (256242023).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38950 + ... + 45050.

Almost surely, 2^256242000 is an apocalyptic number.

256242000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472148352).

256242000 is an abundant number, since it is smaller than the sum of its proper divisors (688054704).

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

256242000 is a wasteful number, since it uses less digits than its factorization.

256242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6134 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 256242000 is about 16007.5607136128. The cubic root of 256242000 is about 635.1604364490.

Adding to 256242000 its reverse (242652), we get a palindrome (256484652).

The spelling of 256242000 in words is "two hundred fifty-six million, two hundred forty-two thousand".