399360000 has 300 divisors, whose sum is σ = 1433097512. Its totient is φ = 98304000.

The previous prime is 399359969. The next prime is 399360007. The reversal of 399360000 is 63993.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 399360000.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1040 × 400 × 960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399360007) 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 19 ways as a sum of consecutive naturals, for example, 30719994 + ... + 30720006.

Almost surely, 2^399360000 is an apocalyptic number.

399360000 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 399360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716548756).

399360000 is an abundant number, since it is smaller than the sum of its proper divisors (1033737512).

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

399360000 is an frugal number, since it uses more digits than its factorization.

399360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 399360000 is about 19983.9935948749. The cubic root of 399360000 is about 736.4131266013.

The spelling of 399360000 in words is "three hundred ninety-nine million, three hundred sixty thousand".