256202784 has 96 divisors (see below), whose sum is σ = 791259840. Its totient is φ = 80372736.

The previous prime is 256202747. The next prime is 256202813. The reversal of 256202784 is 487202652.

256202784 is a `hidden beast` number, since 2 + 5 + 620 + 27 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5967 + ... + 23409.

It is an arithmetic number, because the mean of its divisors is an integer number (8242290).

Almost surely, 2^256202784 is an apocalyptic number.

256202784 is a gapful number since it is divisible by the number (24) 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 256202784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395629920).

256202784 is an abundant number, since it is smaller than the sum of its proper divisors (535057056).

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

256202784 is a wasteful number, since it uses less digits than its factorization.

256202784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17479 (or 17465 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 256202784 is about 16006.3357455728. The cubic root of 256202784 is about 635.1280325464.

The spelling of 256202784 in words is "two hundred fifty-six million, two hundred two thousand, seven hundred eighty-four".