393009345 has 12 divisors (see below), whose sum is σ = 681216276. Its totient is φ = 209604960.

The previous prime is 393009329. The next prime is 393009359. The reversal of 393009345 is 543900393.

It is a happy number.

393009345 is a `hidden beast` number, since 3 + 9 + 300 + 9 + 345 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 286692624 + 106316721 = 16932^2 + 10311^2 .

It is not a de Polignac number, because 393009345 - 2⁴ = 393009329 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4366726 + ... + 4366815.

It is an arithmetic number, because the mean of its divisors is an integer number (56768023).

Almost surely, 2^393009345 is an apocalyptic number.

It is an amenable number.

393009345 is a deficient number, since it is larger than the sum of its proper divisors (288206931).

393009345 is a wasteful number, since it uses less digits than its factorization.

393009345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8733552 (or 8733549 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 393009345 is about 19824.4632966444. The cubic root of 393009345 is about 732.4887502301.

The spelling of 393009345 in words is "three hundred ninety-three million, nine thousand, three hundred forty-five".