399930000 has 100 divisors (see below), whose sum is σ = 1291124208. Its totient is φ = 106640000.

The previous prime is 399929963. The next prime is 399930001. The reversal of 399930000 is 39993.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (399930001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23335 + ... + 36665.

Almost surely, 2^399930000 is an apocalyptic number.

399930000 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 399930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645562104).

399930000 is an abundant number, since it is smaller than the sum of its proper divisors (891194208).

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

399930000 is a wasteful number, since it uses less digits than its factorization.

399930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13362 (or 13341 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 33.

The square root of 399930000 is about 19998.2499234308. The cubic root of 399930000 is about 736.7633168532.

Adding to 399930000 its reverse (39993), we get a palindrome (399969993).

Multiplying 399930000 by its reverse (39993), we get a square (15994400490000 = 3999300²).

399930000 divided by its reverse (39993) gives a 4-th power (10000 = 10⁴).

The spelling of 399930000 in words is "three hundred ninety-nine million, nine hundred thirty thousand".