256565920 has 192 divisors, whose sum is σ = 707180544. Its totient is φ = 87183360.

The previous prime is 256565917. The next prime is 256565963. The reversal of 256565920 is 29565652.

256565920 = 52² + 53² + ... + 916².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1482954 + ... + 1483126.

It is an arithmetic number, because the mean of its divisors is an integer number (3683232).

Almost surely, 2^256565920 is an apocalyptic number.

256565920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256565920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353590272).

256565920 is an abundant number, since it is smaller than the sum of its proper divisors (450614624).

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

256565920 is a wasteful number, since it uses less digits than its factorization.

256565920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The square root of 256565920 is about 16017.6752370623. The cubic root of 256565920 is about 635.4279628963.

The spelling of 256565920 in words is "two hundred fifty-six million, five hundred sixty-five thousand, nine hundred twenty".