256038000 has 160 divisors (see below), whose sum is σ = 834113280. Its totient is φ = 67564800.

The previous prime is 256037933. The next prime is 256038011. The reversal of 256038000 is 830652.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 833847 + ... + 834153.

It is an arithmetic number, because the mean of its divisors is an integer number (5213208).

Almost surely, 2^256038000 is an apocalyptic number.

256038000 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 256038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417056640).

256038000 is an abundant number, since it is smaller than the sum of its proper divisors (578075280).

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

256038000 is a wasteful number, since it uses less digits than its factorization.

256038000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 256038000 is about 16001.1874559359. The cubic root of 256038000 is about 634.9918365454.

Adding to 256038000 its reverse (830652), we get a palindrome (256868652).

The spelling of 256038000 in words is "two hundred fifty-six million, thirty-eight thousand".