256258772 has 48 divisors (see below), whose sum is σ = 577167360. Its totient is φ = 96616800.

The previous prime is 256258753. The next prime is 256258777. The reversal of 256258772 is 277852652.

256258772 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 (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256258777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3872 + ... + 22967.

It is an arithmetic number, because the mean of its divisors is an integer number (12024320).

Almost surely, 2^256258772 is an apocalyptic number.

256258772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256258772 is an abundant number, since it is smaller than the sum of its proper divisors (320908588).

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

256258772 is a wasteful number, since it uses less digits than its factorization.

256258772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26892 (or 26890 counting only the distinct ones).

The product of its digits is 470400, while the sum is 44.

The square root of 256258772 is about 16008.0845824852. The cubic root of 256258772 is about 635.1742940243.

The spelling of 256258772 in words is "two hundred fifty-six million, two hundred fifty-eight thousand, seven hundred seventy-two".