393050496 has 128 divisors (see below), whose sum is σ = 1099837440. Its totient is φ = 124129280.

The previous prime is 393050479. The next prime is 393050501. The reversal of 393050496 is 694050393.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1686796 + ... + 1687028.

It is an arithmetic number, because the mean of its divisors is an integer number (8592480).

Almost surely, 2^393050496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393050496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549918720).

393050496 is an abundant number, since it is smaller than the sum of its proper divisors (706786944).

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

393050496 is a wasteful number, since it uses less digits than its factorization.

393050496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 393050496 is about 19825.5011538170. The cubic root of 393050496 is about 732.5143150103.

The spelling of 393050496 in words is "three hundred ninety-three million, fifty thousand, four hundred ninety-six".