256304032 has 48 divisors (see below), whose sum is σ = 535030272. Its totient is φ = 120648960.

The previous prime is 256304023. The next prime is 256304033. The reversal of 256304032 is 230403652.

It is a happy number.

256304032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 256303988 and 256304006.

It is not an unprimeable number, because it can be changed into a prime (256304033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33213 + ... + 40195.

It is an arithmetic number, because the mean of its divisors is an integer number (11146464).

Almost surely, 2^256304032 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 256304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267515136).

256304032 is an abundant number, since it is smaller than the sum of its proper divisors (278726240).

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

256304032 is a wasteful number, since it uses less digits than its factorization.

256304032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7061 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 256304032 is about 16009.4981807676. The cubic root of 256304032 is about 635.2116863004.

Adding to 256304032 its reverse (230403652), we get a palindrome (486707684).

The spelling of 256304032 in words is "two hundred fifty-six million, three hundred four thousand, thirty-two".