393888016 has 20 divisors (see below), whose sum is σ = 763905100. Its totient is φ = 196751232.

The previous prime is 393887987. The next prime is 393888023. The reversal of 393888016 is 610888393.

It can be written as a sum of positive squares in 2 ways, for example, as 282374416 + 111513600 = 16804^2 + 10560^2 .

It is a super-3 number, since 3×393888016³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5590 + ... + 28618.

It is an arithmetic number, because the mean of its divisors is an integer number (38195255).

Almost surely, 2^393888016 is an apocalyptic number.

It is an amenable number.

393888016 is a deficient number, since it is larger than the sum of its proper divisors (370017084).

393888016 is a wasteful number, since it uses less digits than its factorization.

393888016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24106 (or 24100 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 393888016 is about 19846.6122046056. The cubic root of 393888016 is about 733.0342313747.

The spelling of 393888016 in words is "three hundred ninety-three million, eight hundred eighty-eight thousand, sixteen".