256034520 has 384 divisors, whose sum is σ = 1018967040. Its totient is φ = 56609280.

The previous prime is 256034503. The next prime is 256034539. The reversal of 256034520 is 25430652.

256034520 is a `hidden beast` number, since 2 + 5 + 603 + 4 + 52 + 0 = 666.

256034520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3606085 + ... + 3606155.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2^256034520 is an apocalyptic number.

256034520 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 256034520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509483520).

256034520 is an abundant number, since it is smaller than the sum of its proper divisors (762932520).

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

256034520 is a wasteful number, since it uses less digits than its factorization.

256034520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 256034520 is about 16001.0787136368. The cubic root of 256034520 is about 634.9889596526.

The spelling of 256034520 in words is "two hundred fifty-six million, thirty-four thousand, five hundred twenty".