393916248 has 144 divisors (see below), whose sum is σ = 1237050360. Its totient is φ = 112281600.

The previous prime is 393916219. The next prime is 393916291. The reversal of 393916248 is 842619393.

It is a happy number.

393916248 is a `hidden beast` number, since 393 + 9 + 16 + 248 = 666.

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 35 ways as a sum of consecutive naturals, for example, 228028 + ... + 229748.

Almost surely, 2^393916248 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 393916248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618525180).

393916248 is an abundant number, since it is smaller than the sum of its proper divisors (843134112).

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

393916248 is a wasteful number, since it uses less digits than its factorization.

393916248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1754 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 393916248 is about 19847.3234467522. The cubic root of 393916248 is about 733.0517444132.

The spelling of 393916248 in words is "three hundred ninety-three million, nine hundred sixteen thousand, two hundred forty-eight".