256490784 has 72 divisors (see below), whose sum is σ = 795714192. Its totient is φ = 77723520.

The previous prime is 256490783. The next prime is 256490821. The reversal of 256490784 is 487094652.

It is a happy number.

256490784 is a `hidden beast` number, since 2 + 564 + 9 + 0 + 7 + 84 = 666.

256490784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (256490783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37314 + ... + 43649.

It is an arithmetic number, because the mean of its divisors is an integer number (11051586).

Almost surely, 2^256490784 is an apocalyptic number.

256490784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256490784 is an abundant number, since it is smaller than the sum of its proper divisors (539223408).

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

256490784 is a wasteful number, since it uses less digits than its factorization.

256490784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80990 (or 80979 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 256490784 is about 16015.3296563012. The cubic root of 256490784 is about 635.3659279272.

The spelling of 256490784 in words is "two hundred fifty-six million, four hundred ninety thousand, seven hundred eighty-four".