393359616 has 216 divisors, whose sum is σ = 1276731456. Its totient is φ = 115568640.

The previous prime is 393359611. The next prime is 393359621. The reversal of 393359616 is 616953393.

It is an interprime number because it is at equal distance from previous prime (393359611) and next prime (393359621).

It is not an unprimeable number, because it can be changed into a prime (393359611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688611 + ... + 689181.

Almost surely, 2^393359616 is an apocalyptic number.

393359616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393359616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638365728).

393359616 is an abundant number, since it is smaller than the sum of its proper divisors (883371840).

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

393359616 is a wasteful number, since it uses less digits than its factorization.

393359616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 612 counting only the distinct ones).

The product of its digits is 393660, while the sum is 45.

The square root of 393359616 is about 19833.2956414208. The cubic root of 393359616 is about 732.7062966957.

The spelling of 393359616 in words is "three hundred ninety-three million, three hundred fifty-nine thousand, six hundred sixteen".