393609216 has 288 divisors, whose sum is σ = 1409280768. Its totient is φ = 94371840.

The previous prime is 393609197. The next prime is 393609233. The reversal of 393609216 is 612906393.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 30277626 + ... + 30277638.

It is an arithmetic number, because the mean of its divisors is an integer number (4893336).

Almost surely, 2^393609216 is an apocalyptic number.

393609216 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704640384).

393609216 is an abundant number, since it is smaller than the sum of its proper divisors (1015671552).

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

393609216 is an equidigital number, since it uses as much as digits as its factorization.

393609216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 393609216 is about 19839.5870924775. The cubic root of 393609216 is about 732.8612395825.

The spelling of 393609216 in words is "three hundred ninety-three million, six hundred nine thousand, two hundred sixteen".