399283200 has 198 divisors, whose sum is σ = 1430447694. Its totient is φ = 106414080.

The previous prime is 399283187. The next prime is 399283201. The reversal of 399283200 is 2382993.

It can be written as a sum of positive squares in 3 ways, for example, as 19501056 + 379782144 = 4416^2 + 19488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399283201) 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 17 ways as a sum of consecutive naturals, for example, 229534 + ... + 231266.

Almost surely, 2^399283200 is an apocalyptic number.

399283200 is a gapful number since it is divisible by the number (30) 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 399283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715223847).

399283200 is an abundant number, since it is smaller than the sum of its proper divisors (1031164494).

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

399283200 is a wasteful number, since it uses less digits than its factorization.

399283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 399283200 is about 19982.0719646387. The cubic root of 399283200 is about 736.3659176053.

The spelling of 399283200 in words is "three hundred ninety-nine million, two hundred eighty-three thousand, two hundred".