393738240 has 192 divisors, whose sum is σ = 1440391680. Its totient is φ = 89948160.

The previous prime is 393738221. The next prime is 393738253. The reversal of 393738240 is 42837393.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214125 + ... + 215955.

It is an arithmetic number, because the mean of its divisors is an integer number (7502040).

Almost surely, 2^393738240 is an apocalyptic number.

393738240 is a gapful number since it is divisible by the number (30) 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 393738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720195840).

393738240 is an abundant number, since it is smaller than the sum of its proper divisors (1046653440).

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

393738240 is a wasteful number, since it uses less digits than its factorization.

393738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 393738240 is about 19842.8385066250. The cubic root of 393738240 is about 732.9413074559.

The spelling of 393738240 in words is "three hundred ninety-three million, seven hundred thirty-eight thousand, two hundred forty".