256458752 has 60 divisors (see below), whose sum is σ = 559922496. Its totient is φ = 116490240.

The previous prime is 256458749. The next prime is 256458767. The reversal of 256458752 is 257854652.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179513 + ... + 180935.

Almost surely, 2^256458752 is an apocalyptic number.

256458752 is a gapful number since it is divisible by the number (22) 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 256458752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279961248).

256458752 is an abundant number, since it is smaller than the sum of its proper divisors (303463744).

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

256458752 is an equidigital number, since it uses as much as digits as its factorization.

256458752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1436 counting only the distinct ones).

The product of its digits is 672000, while the sum is 44.

The square root of 256458752 is about 16014.3295832201. The cubic root of 256458752 is about 635.3394774789.

It can be divided in two parts, 2564 and 58752, that added together give a palindrome (61316).

The spelling of 256458752 in words is "two hundred fifty-six million, four hundred fifty-eight thousand, seven hundred fifty-two".