399200 has 36 divisors (see below), whose sum is σ = 976500. Its totient is φ = 159360.

The previous prime is 399197. The next prime is 399221. The reversal of 399200 is 2993.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 551 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (27125).

2³⁹⁹²⁰⁰ 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 399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488250).

399200 is an abundant number, since it is smaller than the sum of its proper divisors (577300).

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

399200 is a wasteful number, since it uses less digits than its factorization.

399200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 399200 is about 631.8227599573. The cubic root of 399200 is about 73.6314767694.

It can be divided in two parts, 399 and 200, that multiplied together give a triangular number (79800 = T₃₉₉).

The spelling of 399200 in words is "three hundred ninety-nine thousand, two hundred".