735256704 has 256 divisors, whose sum is σ = 2455246080. Its totient is φ = 189775872.

The previous prime is 735256703. The next prime is 735256733. The reversal of 735256704 is 407652537.

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

It is not an unprimeable number, because it can be changed into a prime (735256703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1851834 + ... + 1852230.

It is an arithmetic number, because the mean of its divisors is an integer number (9590805).

Almost surely, 2^735256704 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 735256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227623040).

735256704 is an abundant number, since it is smaller than the sum of its proper divisors (1719989376).

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

735256704 is a wasteful number, since it uses less digits than its factorization.

735256704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The square root of 735256704 is about 27115.6173449914. The cubic root of 735256704 is about 902.5674441557.

The spelling of 735256704 in words is "seven hundred thirty-five million, two hundred fifty-six thousand, seven hundred four".