256033752 has 64 divisors (see below), whose sum is σ = 697697280. Its totient is φ = 77822592.

The previous prime is 256033741. The next prime is 256033763. The reversal of 256033752 is 257330652.

256033752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256033741) and next prime (256033763).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20953 + ... + 30839.

It is an arithmetic number, because the mean of its divisors is an integer number (10901520).

Almost surely, 2^256033752 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 256033752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348848640).

256033752 is an abundant number, since it is smaller than the sum of its proper divisors (441663528).

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

256033752 is a wasteful number, since it uses less digits than its factorization.

256033752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 256033752 is about 16001.0547152367. The cubic root of 256033752 is about 634.9883247487.

The spelling of 256033752 in words is "two hundred fifty-six million, thirty-three thousand, seven hundred fifty-two".