390276 has 36 divisors (see below), whose sum is σ = 1016652. Its totient is φ = 126144.

The previous prime is 390263. The next prime is 390281. The reversal of 390276 is 672093.

390276 is a `hidden beast` number, since 390 + 276 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 360000 + 30276 = 600^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 9.

It is an unprimeable number.

390276 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 11 ways as a sum of consecutive naturals, for example, 1186 + ... + 1478.

2³⁹⁰²⁷⁶ is an apocalyptic number.

390276 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508326).

390276 is an abundant number, since it is smaller than the sum of its proper divisors (626376).

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

390276 is a wasteful number, since it uses less digits than its factorization.

390276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 390276 is about 624.7207376100. The cubic root of 390276 is about 73.0786666819.

It can be divided in two parts, 390 and 276, that added together give a palindrome (666).

The spelling of 390276 in words is "three hundred ninety thousand, two hundred seventy-six".