399200400 has 315 divisors, whose sum is σ = 1477874811. Its totient is φ = 103576320.

The previous prime is 399200381. The next prime is 399200407. The reversal of 399200400 is 4002993.

The square root of 399200400 is 19980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37896336 + 361304064 = 6156^2 + 19008^2 .

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

It is not an unprimeable number, because it can be changed into a prime (399200407) 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 62 ways as a sum of consecutive naturals, for example, 10789182 + ... + 10789218.

Almost surely, 2^399200400 is an apocalyptic number.

399200400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

399200400 is the 19980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399200400

399200400 is an abundant number, since it is smaller than the sum of its proper divisors (1078674411).

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

399200400 is an equidigital number, since it uses as much as digits as its factorization.

399200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The cubic root of 399200400 is about 736.3150136245.

The spelling of 399200400 in words is "three hundred ninety-nine million, two hundred thousand, four hundred".