390360 has 32 divisors (see below), whose sum is σ = 1171440. Its totient is φ = 104064.

The previous prime is 390359. The next prime is 390367. The reversal of 390360 is 63093.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1507 + ... + 1746.

2³⁹⁰³⁶⁰ is an apocalyptic number.

390360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

390360 is an abundant number, since it is smaller than the sum of its proper divisors (781080).

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

390360 is a wasteful number, since it uses less digits than its factorization.

390360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3263 counting only the distinct ones).

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

The square root of 390360 is about 624.7879640326. The cubic root of 390360 is about 73.0839092689.

The spelling of 390360 in words is "three hundred ninety thousand, three hundred sixty".