393954345 has 48 divisors (see below), whose sum is σ = 730613520. Its totient is φ = 195674112.

The previous prime is 393954307. The next prime is 393954349. The reversal of 393954345 is 543459393.

393954345 is a `hidden beast` number, since 39 + 39 + 543 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37197801 + 356756544 = 6099^2 + 18888^2 .

It is not a de Polignac number, because 393954345 - 2¹⁰ = 393953321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 393954345.

It is not an unprimeable number, because it can be changed into a prime (393954349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71551 + ... + 76859.

It is an arithmetic number, because the mean of its divisors is an integer number (15221115).

Almost surely, 2^393954345 is an apocalyptic number.

It is an amenable number.

393954345 is a deficient number, since it is larger than the sum of its proper divisors (336659175).

393954345 is a wasteful number, since it uses less digits than its factorization.

393954345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434 (or 5431 counting only the distinct ones).

The product of its digits is 874800, while the sum is 45.

The square root of 393954345 is about 19848.2831751263. The cubic root of 393954345 is about 733.0753756395.

The spelling of 393954345 in words is "three hundred ninety-three million, nine hundred fifty-four thousand, three hundred forty-five".