256054032 has 240 divisors, whose sum is σ = 850362240. Its totient is φ = 71165952.

The previous prime is 256054031. The next prime is 256054033. The reversal of 256054032 is 230450652.

256054032 is a `hidden beast` number, since 25 + 605 + 4 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (256054031) and next prime (256054033).

It is a junction number, because it is equal to n+sod(n) for n = 256053987 and 256054005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256054031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817908 + ... + 818220.

It is an arithmetic number, because the mean of its divisors is an integer number (3543176).

Almost surely, 2^256054032 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 256054032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425181120).

256054032 is an abundant number, since it is smaller than the sum of its proper divisors (594308208).

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

256054032 is a wasteful number, since it uses less digits than its factorization.

256054032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 373 counting only the distinct ones).

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

The square root of 256054032 is about 16001.6884109146. The cubic root of 256054032 is about 635.0050897560.

The spelling of 256054032 in words is "two hundred fifty-six million, fifty-four thousand, thirty-two".