390630 has 32 divisors (see below), whose sum is σ = 972000. Its totient is φ = 100352.

The previous prime is 390581. The next prime is 390647. The reversal of 390630 is 36093.

390630 = 311² + 312² + ... + 314².

It is a junction number, because it is equal to n+sod(n) for n = 390597 and 390606.

It is a congruent number.

It is an unprimeable number.

390630 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 646 + ... + 1094.

It is an arithmetic number, because the mean of its divisors is an integer number (30375).

2³⁹⁰⁶³⁰ is an apocalyptic number.

390630 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 390630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486000).

390630 is an abundant number, since it is smaller than the sum of its proper divisors (581370).

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

390630 is a wasteful number, since it uses less digits than its factorization.

390630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488.

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

The square root of 390630 is about 625.0039999872. The cubic root of 390630 is about 73.1007553492.

The spelling of 390630 in words is "three hundred ninety thousand, six hundred thirty".