390390 has 96 divisors (see below), whose sum is σ = 1264896. Its totient is φ = 74880.

The previous prime is 390389. The next prime is 390391. The reversal of 390390 is 93093.

390390 = 15² + 16² + ... + 105².

390390 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (390389) and next prime (390391).

It is a self number, because there is not a number n which added to its sum of digits gives 390390.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30024 + ... + 30036.

It is an arithmetic number, because the mean of its divisors is an integer number (13176).

2³⁹⁰³⁹⁰ is an apocalyptic number.

390390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 390390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632448).

390390 is an abundant number, since it is smaller than the sum of its proper divisors (874506).

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

390390 is a wasteful number, since it uses less digits than its factorization.

390390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 390390 is about 624.8119717163. The cubic root of 390390 is about 73.0857814391.

It can be divided in two parts, 3903 and 90, that added together give a palindrome (3993).

The spelling of 390390 in words is "three hundred ninety thousand, three hundred ninety".