256535730 has 72 divisors (see below), whose sum is σ = 733172076. Its totient is φ = 62187840.

The previous prime is 256535707. The next prime is 256535731. The reversal of 256535730 is 37535652.

256535730 is a `hidden beast` number, since 2 + 56 + 535 + 73 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 209873169 + 46662561 = 14487^2 + 6831^2 .

It is not an unprimeable number, because it can be changed into a prime (256535731) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 889 + ... + 22668.

Almost surely, 2^256535730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256535730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366586038).

256535730 is an abundant number, since it is smaller than the sum of its proper divisors (476636346).

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

256535730 is a wasteful number, since it uses less digits than its factorization.

256535730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23592 (or 23578 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The square root of 256535730 is about 16016.7328129054. The cubic root of 256535730 is about 635.4030384082.

The spelling of 256535730 in words is "two hundred fifty-six million, five hundred thirty-five thousand, seven hundred thirty".