393634248 has 192 divisors, whose sum is σ = 1225728000. Its totient is φ = 104727168.

The previous prime is 393634247. The next prime is 393634289. The reversal of 393634248 is 842436393.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393634247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1765065 + ... + 1765287.

It is an arithmetic number, because the mean of its divisors is an integer number (6384000).

Almost surely, 2^393634248 is an apocalyptic number.

393634248 is a gapful number since it is divisible by the number (38) 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 393634248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612864000).

393634248 is an abundant number, since it is smaller than the sum of its proper divisors (832093752).

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

393634248 is a wasteful number, since it uses less digits than its factorization.

393634248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 393634248 is about 19840.2179423513. The cubic root of 393634248 is about 732.8767749519.

The spelling of 393634248 in words is "three hundred ninety-three million, six hundred thirty-four thousand, two hundred forty-eight".