256354416 has 80 divisors (see below), whose sum is σ = 739015200. Its totient is φ = 85082112.

The previous prime is 256354411. The next prime is 256354421. The reversal of 256354416 is 614453652.

256354416 is a `hidden beast` number, since 2 + 5 + 635 + 4 + 4 + 16 = 666.

256354416 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 (256354411) and next prime (256354421).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256354411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109870 + ... + 112178.

It is an arithmetic number, because the mean of its divisors is an integer number (9237690).

Almost surely, 2^256354416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256354416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369507600).

256354416 is an abundant number, since it is smaller than the sum of its proper divisors (482660784).

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

256354416 is a wasteful number, since it uses less digits than its factorization.

256354416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2571 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 256354416 is about 16011.0716693168. The cubic root of 256354416 is about 635.2533066739.

The spelling of 256354416 in words is "two hundred fifty-six million, three hundred fifty-four thousand, four hundred sixteen".