384706993 has 32 divisors (see below), whose sum is σ = 456228864. Its totient is φ = 320760000.

The previous prime is 384706981. The next prime is 384706997. The reversal of 384706993 is 399607483.

It is not a de Polignac number, because 384706993 - 2⁵ = 384706961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (384706997) 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, 1419448 + ... + 1419718.

It is an arithmetic number, because the mean of its divisors is an integer number (14257152).

Almost surely, 2^384706993 is an apocalyptic number.

It is an amenable number.

384706993 is a deficient number, since it is larger than the sum of its proper divisors (71521871).

384706993 is a wasteful number, since it uses less digits than its factorization.

384706993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517.

The product of its (nonzero) digits is 979776, while the sum is 49.

The square root of 384706993 is about 19613.9489394665. The cubic root of 384706993 is about 727.2940371043.

The spelling of 384706993 in words is "three hundred eighty-four million, seven hundred six thousand, nine hundred ninety-three".