256369152 has 160 divisors (see below), whose sum is σ = 757576512. Its totient is φ = 76529664.

The previous prime is 256369151. The next prime is 256369181. The reversal of 256369152 is 251963652.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 256369152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256369151) 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, 738643 + ... + 738989.

Almost surely, 2^256369152 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 256369152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378788256).

256369152 is an abundant number, since it is smaller than the sum of its proper divisors (501207360).

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

256369152 is a wasteful number, since it uses less digits than its factorization.

256369152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 402 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

The square root of 256369152 is about 16011.5318442677. The cubic root of 256369152 is about 635.2654785121.

The spelling of 256369152 in words is "two hundred fifty-six million, three hundred sixty-nine thousand, one hundred fifty-two".