399991200 has 288 divisors, whose sum is σ = 1541151360. Its totient is φ = 88166400.

The previous prime is 399991157. The next prime is 399991217. The reversal of 399991200 is 2199993.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486790 + ... + 487610.

It is an arithmetic number, because the mean of its divisors is an integer number (5351220).

Almost surely, 2^399991200 is an apocalyptic number.

399991200 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 399991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770575680).

399991200 is an abundant number, since it is smaller than the sum of its proper divisors (1141160160).

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

399991200 is a wasteful number, since it uses less digits than its factorization.

399991200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 42.

The square root of 399991200 is about 19999.7799987900. The cubic root of 399991200 is about 736.8008964423.

The spelling of 399991200 in words is "three hundred ninety-nine million, nine hundred ninety-one thousand, two hundred".