256414284 has 72 divisors (see below), whose sum is σ = 745585568. Its totient is φ = 72783360.

The previous prime is 256414283. The next prime is 256414303. The reversal of 256414284 is 482414652.

256414284 is a `hidden beast` number, since 2 + 5 + 641 + 4 + 2 + 8 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (256414283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36324 + ... + 42804.

Almost surely, 2^256414284 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 256414284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372792784).

256414284 is an abundant number, since it is smaller than the sum of its proper divisors (489171284).

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

256414284 is a wasteful number, since it uses less digits than its factorization.

256414284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6655 (or 6650 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 256414284 is about 16012.9411414643. The cubic root of 256414284 is about 635.3027543428.

The spelling of 256414284 in words is "two hundred fifty-six million, four hundred fourteen thousand, two hundred eighty-four".