390306 has 16 divisors (see below), whose sum is σ = 892224. Its totient is φ = 111504.

The previous prime is 390289. The next prime is 390307. The reversal of 390306 is 603093.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (390307) by changing a digit.

390306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4605 + ... + 4688.

It is an arithmetic number, because the mean of its divisors is an integer number (55764).

2³⁹⁰³⁰⁶ is an apocalyptic number.

390306 is an abundant number, since it is smaller than the sum of its proper divisors (501918).

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

390306 is a wasteful number, since it uses less digits than its factorization.

390306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9305.

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 390306 is about 624.7447478771. The cubic root of 390306 is about 73.0805391207.

Adding to 390306 its reverse (603093), we get a palindrome (993399).

It can be divided in two parts, 390 and 306, that added together give a palindrome (696).

The spelling of 390306 in words is "three hundred ninety thousand, three hundred six".