393397056 has 168 divisors, whose sum is σ = 1228185504. Its totient is φ = 119669760.

The previous prime is 393397049. The next prime is 393397079. The reversal of 393397056 is 650793393.

It is a super-2 number, since 2×393397056² = 309522487338934272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800971 + ... + 801461.

It is an arithmetic number, because the mean of its divisors is an integer number (7310628).

Almost surely, 2^393397056 is an apocalyptic number.

393397056 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 393397056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614092752).

393397056 is an abundant number, since it is smaller than the sum of its proper divisors (834788448).

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

393397056 is a wasteful number, since it uses less digits than its factorization.

393397056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 45.

The square root of 393397056 is about 19834.2394863025. The cubic root of 393397056 is about 732.7295423064.

The spelling of 393397056 in words is "three hundred ninety-three million, three hundred ninety-seven thousand, fifty-six".