399031200 has 216 divisors, whose sum is σ = 1420057548. Its totient is φ = 105431040.

The previous prime is 399031189. The next prime is 399031201. The reversal of 399031200 is 2130993.

It can be written as a sum of positive squares in 6 ways, for example, as 88284816 + 310746384 = 9396^2 + 17628^2 .

It is not an unprimeable number, because it can be changed into a prime (399031201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1130224 + ... + 1130576.

Almost surely, 2^399031200 is an apocalyptic number.

399031200 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 399031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710028774).

399031200 is an abundant number, since it is smaller than the sum of its proper divisors (1021026348).

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

399031200 is a wasteful number, since it uses less digits than its factorization.

399031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 399031200 is about 19975.7653170035. The cubic root of 399031200 is about 736.2109705540.

The spelling of 399031200 in words is "three hundred ninety-nine million, thirty-one thousand, two hundred".