393897312 has 72 divisors (see below), whose sum is σ = 1124814600. Its totient is φ = 130752000.

The previous prime is 393897307. The next prime is 393897323. The reversal of 393897312 is 213798393.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69564 + ... + 75012.

It is an arithmetic number, because the mean of its divisors is an integer number (15622425).

Almost surely, 2^393897312 is an apocalyptic number.

393897312 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 393897312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562407300).

393897312 is an abundant number, since it is smaller than the sum of its proper divisors (730917288).

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

393897312 is a wasteful number, since it uses less digits than its factorization.

393897312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716 (or 5705 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 393897312 is about 19846.8463993653. The cubic root of 393897312 is about 733.0399980159.

The spelling of 393897312 in words is "three hundred ninety-three million, eight hundred ninety-seven thousand, three hundred twelve".