393085056 has 192 divisors, whose sum is σ = 1308847680. Its totient is φ = 103606272.

The previous prime is 393085051. The next prime is 393085061. The reversal of 393085056 is 650580393.

It is an interprime number because it is at equal distance from previous prime (393085051) and next prime (393085061).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×393085056² = 309031722501046272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (393085051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243805 + ... + 245411.

It is an arithmetic number, because the mean of its divisors is an integer number (6816915).

Almost surely, 2^393085056 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 393085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654423840).

393085056 is an abundant number, since it is smaller than the sum of its proper divisors (915762624).

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

393085056 is a wasteful number, since it uses less digits than its factorization.

393085056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 393085056 is about 19826.3727393591. The cubic root of 393085056 is about 732.5357837978.

The spelling of 393085056 in words is "three hundred ninety-three million, eighty-five thousand, fifty-six".