393008616 has 576 divisors, whose sum is σ = 1568548800. Its totient is φ = 87091200.

The previous prime is 393008611. The next prime is 393008653. The reversal of 393008616 is 616800393.

It is a happy number.

393008616 is a `hidden beast` number, since 3 + 9 + 30 + 0 + 8 + 616 = 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 (393008611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9585556 + ... + 9585596.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 2^393008616 is an apocalyptic number.

393008616 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 393008616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784274400).

393008616 is an abundant number, since it is smaller than the sum of its proper divisors (1175540184).

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

393008616 is a wasteful number, since it uses less digits than its factorization.

393008616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

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

The square root of 393008616 is about 19824.4449102617. Note that the first 3 decimals coincide. The cubic root of 393008616 is about 732.4882973277.

The spelling of 393008616 in words is "three hundred ninety-three million, eight thousand, six hundred sixteen".