735328040 has 16 divisors (see below), whose sum is σ = 1654488180. Its totient is φ = 294131200.

The previous prime is 735328039. The next prime is 735328049. The reversal of 735328040 is 40823537.

It is a happy number.

735328040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 729108004 + 6220036 = 27002^2 + 2494^2 .

It is a junction number, because it is equal to n+sod(n) for n = 735327988 and 735328006.

It is not an unprimeable number, because it can be changed into a prime (735328049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9191561 + ... + 9191640.

Almost surely, 2^735328040 is an apocalyptic number.

It is an amenable number.

735328040 is an abundant number, since it is smaller than the sum of its proper divisors (919160140).

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

735328040 is a wasteful number, since it uses less digits than its factorization.

735328040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18383212 (or 18383208 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 735328040 is about 27116.9327174000. The cubic root of 735328040 is about 902.5966328135.

The spelling of 735328040 in words is "seven hundred thirty-five million, three hundred twenty-eight thousand, forty".