390369 has 16 divisors (see below), whose sum is σ = 616320. Its totient is φ = 215040.

The previous prime is 390367. The next prime is 390373. The reversal of 390369 is 963093.

It is not a de Polignac number, because 390369 - 2¹ = 390367 is a prime.

It is a super-2 number, since 2×390369² = 304775912322, which contains 22 as substring.

390369 is a lucky number.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 390369.

It is not an unprimeable number, because it can be changed into a prime (390367) 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 in 15 ways as a sum of consecutive naturals, for example, 289 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (38520).

2³⁹⁰³⁶⁹ is an apocalyptic number.

It is an amenable number.

390369 is a deficient number, since it is larger than the sum of its proper divisors (225951).

390369 is a wasteful number, since it uses less digits than its factorization.

390369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680.

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 390369 is about 624.7951664346. The cubic root of 390369 is about 73.0844709300.

The spelling of 390369 in words is "three hundred ninety thousand, three hundred sixty-nine".