256378752 has 96 divisors (see below), whose sum is σ = 843176880. Its totient is φ = 73248768.

The previous prime is 256378739. The next prime is 256378753. The reversal of 256378752 is 257873652.

256378752 is a `hidden beast` number, since 2 + 5 + 637 + 8 + 7 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 256378698 and 256378707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256378753) 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, 7833 + ... + 23960.

Almost surely, 2^256378752 is an apocalyptic number.

It is an amenable number.

256378752 is an abundant number, since it is smaller than the sum of its proper divisors (586798128).

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

256378752 is a wasteful number, since it uses less digits than its factorization.

256378752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31820 (or 31805 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 256378752 is about 16011.8316253950. The cubic root of 256378752 is about 635.2734077974.

The spelling of 256378752 in words is "two hundred fifty-six million, three hundred seventy-eight thousand, seven hundred fifty-two".