399330 has 80 divisors (see below), whose sum is σ = 1176120. Its totient is φ = 96768.

The previous prime is 399283. The next prime is 399353. The reversal of 399330 is 33993.

399330 = 22² + 23² + ... + 106².

It can be written as a sum of positive squares in 4 ways, for example, as 363609 + 35721 = 603^2 + 189^2 .

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

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 399294 and 399303.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13756 + ... + 13784.

2³⁹⁹³³⁰ is an apocalyptic number.

399330 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 399330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588060).

399330 is an abundant number, since it is smaller than the sum of its proper divisors (776790).

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

399330 is a wasteful number, since it uses less digits than its factorization.

399330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

The square root of 399330 is about 631.9256285355. The cubic root of 399330 is about 73.6394686308.

It can be divided in two parts, 399 and 330, that added together give a 6-th power (729 = 3⁶).

The spelling of 399330 in words is "three hundred ninety-nine thousand, three hundred thirty".