256458280 has 128 divisors (see below), whose sum is σ = 665521920. Its totient is φ = 88197120.

The previous prime is 256458269. The next prime is 256458287. The reversal of 256458280 is 82854652.

256458280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (256458287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490099 + ... + 490621.

It is an arithmetic number, because the mean of its divisors is an integer number (5199390).

Almost surely, 2^256458280 is an apocalyptic number.

256458280 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 256458280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332760960).

256458280 is an abundant number, since it is smaller than the sum of its proper divisors (409063640).

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

256458280 is a wasteful number, since it uses less digits than its factorization.

256458280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 256458280 is about 16014.3148464116. The cubic root of 256458280 is about 635.3390877080.

The spelling of 256458280 in words is "two hundred fifty-six million, four hundred fifty-eight thousand, two hundred eighty".