392000401 has 9 divisors (see below), whose sum is σ = 424752699. Its totient is φ = 361608936.

The previous prime is 392000383. The next prime is 392000417. The reversal of 392000401 is 104000293.

The square root of 392000401 is 19799.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 57988225 + 334012176 = 7615^2 + 18276^2 .

It is not a de Polignac number, because 392000401 - 2¹¹ = 391998353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (392060401) 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 8 ways as a sum of consecutive naturals, for example, 256626 + ... + 258148.

Almost surely, 2^392000401 is an apocalyptic number.

392000401 is the 19799-th square number.

392000401 is the 9900-th centered octagonal number.

It is an amenable number.

392000401 is a deficient number, since it is larger than the sum of its proper divisors (32752298).

392000401 is an frugal number, since it uses more digits than its factorization.

392000401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The cubic root of 392000401 is about 731.8613915592.

Adding to 392000401 its reverse (104000293), we get a palindrome (496000694).

The spelling of 392000401 in words is "three hundred ninety-two million, four hundred one", and thus it is an aban number.