390864 has 40 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 122368.

The previous prime is 390851. The next prime is 390869. The reversal of 390864 is 468093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390869) by changing a digit.

390864 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577 + ... + 1055.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2³⁹⁰⁸⁶⁴ is an apocalyptic number.

390864 is a gapful number since it is divisible by the number (34) 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 390864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

390864 is an abundant number, since it is smaller than the sum of its proper divisors (680496).

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

390864 is a wasteful number, since it uses less digits than its factorization.

390864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 390864 is about 625.1911707630. The cubic root of 390864 is about 73.1153490076.

The spelling of 390864 in words is "three hundred ninety thousand, eight hundred sixty-four".