390852 has 96 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 99360.

The previous prime is 390851. The next prime is 390869. The reversal of 390852 is 258093.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 390852.

It is not an unprimeable number, because it can be changed into a prime (390851) 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 31 ways as a sum of consecutive naturals, for example, 8293 + ... + 8339.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2³⁹⁰⁸⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120).

390852 is an abundant number, since it is smaller than the sum of its proper divisors (899388).

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

390852 is a wasteful number, since it uses less digits than its factorization.

390852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 390852 is about 625.1815736248. The cubic root of 390852 is about 73.1146007565.

The spelling of 390852 in words is "three hundred ninety thousand, eight hundred fifty-two".