256124520 has 96 divisors (see below), whose sum is σ = 861143400. Its totient is φ = 65942016.

The previous prime is 256124513. The next prime is 256124521. The reversal of 256124520 is 25421652.

256124520 is a `hidden beast` number, since 2 + 5 + 612 + 45 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130370724 + 125753796 = 11418^2 + 11214^2 .

It is not an unprimeable number, because it can be changed into a prime (256124521) 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, 1827 + ... + 22706.

Almost surely, 2^256124520 is an apocalyptic number.

256124520 is a gapful number since it is divisible by the number (20) 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 256124520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430571700).

256124520 is an abundant number, since it is smaller than the sum of its proper divisors (605018880).

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

256124520 is a wasteful number, since it uses less digits than its factorization.

256124520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24579 (or 24572 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 256124520 is about 16003.8907769330. The cubic root of 256124520 is about 635.0633536724.

The spelling of 256124520 in words is "two hundred fifty-six million, one hundred twenty-four thousand, five hundred twenty".