256234000 has 160 divisors (see below), whose sum is σ = 712632960. Its totient is φ = 88128000.

The previous prime is 256233931. The next prime is 256234037. The reversal of 256234000 is 432652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 417694 + ... + 418306.

It is an arithmetic number, because the mean of its divisors is an integer number (4453956).

Almost surely, 2^256234000 is an apocalyptic number.

256234000 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 256234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356316480).

256234000 is an abundant number, since it is smaller than the sum of its proper divisors (456398960).

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

256234000 is a wasteful number, since it uses less digits than its factorization.

256234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 256234000 is about 16007.3108297428. The cubic root of 256234000 is about 635.1538263742.

Adding to 256234000 its reverse (432652), we get a palindrome (256666652).

It can be divided in two parts, 256 and 234000, that added together give a 4-th power (234256 = 22⁴).

The spelling of 256234000 in words is "two hundred fifty-six million, two hundred thirty-four thousand".