256414356 has 96 divisors (see below), whose sum is σ = 732735360. Its totient is φ = 76896000.

The previous prime is 256414343. The next prime is 256414381. The reversal of 256414356 is 653414652.

256414356 is a `hidden beast` number, since 2 + 5 + 641 + 4 + 3 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 256414356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118920 + ... + 121056.

It is an arithmetic number, because the mean of its divisors is an integer number (7632660).

Almost surely, 2^256414356 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 256414356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366367680).

256414356 is an abundant number, since it is smaller than the sum of its proper divisors (476321004).

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

256414356 is a wasteful number, since it uses less digits than its factorization.

256414356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2254 counting only the distinct ones).

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

The square root of 256414356 is about 16012.9433896458. The cubic root of 256414356 is about 635.3028138062.

The spelling of 256414356 in words is "two hundred fifty-six million, four hundred fourteen thousand, three hundred fifty-six".