393844392 has 48 divisors (see below), whose sum is σ = 1072656000. Its totient is φ = 130543776.

The previous prime is 393844343. The next prime is 393844393. The reversal of 393844392 is 293448393.

It is a super-2 number, since 2×393844392² = 310226810219699328, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (393844393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2392 + ... + 28167.

It is an arithmetic number, because the mean of its divisors is an integer number (22347000).

Almost surely, 2^393844392 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 393844392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536328000).

393844392 is an abundant number, since it is smaller than the sum of its proper divisors (678811608).

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

393844392 is a wasteful number, since it uses less digits than its factorization.

393844392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30750 (or 30743 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 393844392 is about 19845.5131452931. The cubic root of 393844392 is about 733.0071686355.

The spelling of 393844392 in words is "three hundred ninety-three million, eight hundred forty-four thousand, three hundred ninety-two".