399364 has 24 divisors (see below), whose sum is σ = 846720. Its totient is φ = 160896.

The previous prime is 399353. The next prime is 399379. The reversal of 399364 is 463993.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 895.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2³⁹⁹³⁶⁴ is an apocalyptic number.

399364 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 399364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

399364 is an abundant number, since it is smaller than the sum of its proper divisors (447356).

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

399364 is a wasteful number, since it uses less digits than its factorization.

399364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 865 counting only the distinct ones).

The product of its digits is 17496, while the sum is 34.

The square root of 399364 is about 631.9525298628. The cubic root of 399364 is about 73.6415585237.

It can be divided in two parts, 3993 and 64, that multiplied together give a palindrome (255552).

The spelling of 399364 in words is "three hundred ninety-nine thousand, three hundred sixty-four".