390628993 has 2 divisors, whose sum is σ = 390628994. Its totient is φ = 390628992.

The previous prime is 390628967. The next prime is 390629003. The reversal of 390628993 is 399826093.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 369908289 + 20720704 = 19233^2 + 4552^2 .

It is an emirp because it is prime and its reverse (399826093) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 390628993 - 2²¹ = 388531841 is a prime.

It is not a weakly prime, because it can be changed into another prime (390628493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 195314496 + 195314497.

It is an arithmetic number, because the mean of its divisors is an integer number (195314497).

Almost surely, 2^390628993 is an apocalyptic number.

It is an amenable number.

390628993 is a deficient number, since it is larger than the sum of its proper divisors (1).

390628993 is an equidigital number, since it uses as much as digits as its factorization.

390628993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 629856, while the sum is 49.

The square root of 390628993 is about 19764.3363915918. The cubic root of 390628993 is about 731.0069253400.

The spelling of 390628993 in words is "three hundred ninety million, six hundred twenty-eight thousand, nine hundred ninety-three".