393144192 has 160 divisors (see below), whose sum is σ = 1337379120. Its totient is φ = 112306176.

The previous prime is 393144179. The next prime is 393144233. The reversal of 393144192 is 291441393.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69868 + ... + 75284.

Almost surely, 2^393144192 is an apocalyptic number.

393144192 is a gapful number since it is divisible by the number (32) 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 393144192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668689560).

393144192 is an abundant number, since it is smaller than the sum of its proper divisors (944234928).

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

393144192 is an equidigital number, since it uses as much as digits as its factorization.

393144192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450 (or 5429 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 393144192 is about 19827.8640301975. The cubic root of 393144192 is about 732.5725163601.

The spelling of 393144192 in words is "three hundred ninety-three million, one hundred forty-four thousand, one hundred ninety-two".