399600000 has 384 divisors, whose sum is σ = 1513965600. Its totient is φ = 103680000.

The previous prime is 399599987. The next prime is 399600007. The reversal of 399600000 is 6993.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399600007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10799982 + ... + 10800018.

Almost surely, 2^399600000 is an apocalyptic number.

399600000 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 399600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756982800).

399600000 is an abundant number, since it is smaller than the sum of its proper divisors (1114365600).

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

399600000 is an frugal number, since it uses more digits than its factorization.

399600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

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

The square root of 399600000 is about 19989.9974987492. The cubic root of 399600000 is about 736.5606157153.

Adding to 399600000 its reverse (6993), we get a palindrome (399606993).

The spelling of 399600000 in words is "three hundred ninety-nine million, six hundred thousand".