256362500 has 36 divisors (see below), whose sum is σ = 560784420. Its totient is φ = 102540000.

The previous prime is 256362481. The next prime is 256362503. The reversal of 256362500 is 5263652.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 237838084 + 18524416 = 15422^2 + 4304^2 .

It is not an unprimeable number, because it can be changed into a prime (256362503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2246 + ... + 22754.

It is an arithmetic number, because the mean of its divisors is an integer number (15577345).

Almost surely, 2^256362500 is an apocalyptic number.

256362500 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 256362500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280392210).

256362500 is an abundant number, since it is smaller than the sum of its proper divisors (304421920).

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

256362500 is an equidigital number, since it uses as much as digits as its factorization.

256362500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20538 (or 20516 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 256362500 is about 16011.3241176362. The cubic root of 256362500 is about 635.2599840620.

The spelling of 256362500 in words is "two hundred fifty-six million, three hundred sixty-two thousand, five hundred".