256415460 has 96 divisors (see below), whose sum is σ = 825307392. Its totient is φ = 58268160.

The previous prime is 256415459. The next prime is 256415461. The reversal of 256415460 is 64514652.

256415460 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 (256415459) and next prime (256415461).

It is not an unprimeable number, because it can be changed into a prime (256415461) 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, 74334 + ... + 77706.

It is an arithmetic number, because the mean of its divisors is an integer number (8596952).

Almost surely, 2^256415460 is an apocalyptic number.

256415460 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 256415460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412653696).

256415460 is an abundant number, since it is smaller than the sum of its proper divisors (568891932).

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

256415460 is a wasteful number, since it uses less digits than its factorization.

256415460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 256415460 is about 16012.9778617220. The cubic root of 256415460 is about 635.3037255769.

The spelling of 256415460 in words is "two hundred fifty-six million, four hundred fifteen thousand, four hundred sixty".