393148836 has 96 divisors (see below), whose sum is σ = 1099324800. Its totient is φ = 121098240.

The previous prime is 393148823. The next prime is 393148841. The reversal of 393148836 is 638841393.

It is a junction number, because it is equal to n+sod(n) for n = 393148791 and 393148800.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81796 + ... + 86468.

It is an arithmetic number, because the mean of its divisors is an integer number (11451300).

Almost surely, 2^393148836 is an apocalyptic number.

393148836 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 393148836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549662400).

393148836 is an abundant number, since it is smaller than the sum of its proper divisors (706175964).

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

393148836 is a wasteful number, since it uses less digits than its factorization.

393148836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4738 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 393148836 is about 19827.9811377760. The cubic root of 393148836 is about 732.5754008433.

The spelling of 393148836 in words is "three hundred ninety-three million, one hundred forty-eight thousand, eight hundred thirty-six".