735256256 has 112 divisors (see below), whose sum is σ = 1826971200. Its totient is φ = 286261248.

The previous prime is 735256237. The next prime is 735256259. The reversal of 735256256 is 652652537.

735256256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (735256259) 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, 219200 + ... + 222528.

Almost surely, 2^735256256 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 735256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913485600).

735256256 is an abundant number, since it is smaller than the sum of its proper divisors (1091714944).

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

735256256 is a wasteful number, since it uses less digits than its factorization.

735256256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3384 counting only the distinct ones).

The product of its digits is 378000, while the sum is 41.

The square root of 735256256 is about 27115.6090840682. The cubic root of 735256256 is about 902.5672608409.

The spelling of 735256256 in words is "seven hundred thirty-five million, two hundred fifty-six thousand, two hundred fifty-six".