399645200 has 60 divisors (see below), whose sum is σ = 972378240. Its totient is φ = 157822080.

The previous prime is 399645187. The next prime is 399645203. The reversal of 399645200 is 2546993.

It is not an unprimeable number, because it can be changed into a prime (399645203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25277 + ... + 37923.

It is an arithmetic number, because the mean of its divisors is an integer number (16206304).

Almost surely, 2^399645200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486189120).

399645200 is an abundant number, since it is smaller than the sum of its proper divisors (572733040).

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

399645200 is a wasteful number, since it uses less digits than its factorization.

399645200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12744 (or 12733 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 399645200 is about 19991.1280322047. The cubic root of 399645200 is about 736.5883862230.

The spelling of 399645200 in words is "three hundred ninety-nine million, six hundred forty-five thousand, two hundred".