393340016 has 40 divisors (see below), whose sum is σ = 814389840. Its totient is φ = 183389184.

The previous prime is 393339979. The next prime is 393340061. The reversal of 393340016 is 610043393.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23015 + ... + 36281.

It is an arithmetic number, because the mean of its divisors is an integer number (20359746).

Almost surely, 2^393340016 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 393340016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407194920).

393340016 is an abundant number, since it is smaller than the sum of its proper divisors (421049824).

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

393340016 is a wasteful number, since it uses less digits than its factorization.

393340016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13401 (or 13395 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 393340016 is about 19832.8015166794. The cubic root of 393340016 is about 732.6941269310.

The spelling of 393340016 in words is "three hundred ninety-three million, three hundred forty thousand, sixteen".