393600816 has 160 divisors (see below), whose sum is σ = 1309598720. Its totient is φ = 110854656.

The previous prime is 393600811. The next prime is 393600829. The reversal of 393600816 is 618006393.

It is a happy number.

393600816 is a `hidden beast` number, since 39 + 3 + 600 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (393600811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219861 + ... + 221643.

It is an arithmetic number, because the mean of its divisors is an integer number (8184992).

Almost surely, 2^393600816 is an apocalyptic number.

393600816 is a gapful number since it is divisible by the number (36) 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 393600816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654799360).

393600816 is an abundant number, since it is smaller than the sum of its proper divisors (915997904).

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

393600816 is a wasteful number, since it uses less digits than its factorization.

393600816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 393600816 is about 19839.3753933938. The cubic root of 393600816 is about 732.8560262237.

The spelling of 393600816 in words is "three hundred ninety-three million, six hundred thousand, eight hundred sixteen".