399744000 has 264 divisors, whose sum is σ = 1444657968. Its totient is φ = 106291200.

The previous prime is 399743999. The next prime is 399744013. The reversal of 399744000 is 447993.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1151827 + ... + 1152173.

Almost surely, 2^399744000 is an apocalyptic number.

399744000 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 399744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722328984).

399744000 is an abundant number, since it is smaller than the sum of its proper divisors (1044913968).

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

399744000 is a wasteful number, since it uses less digits than its factorization.

399744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 399744000 is about 19993.5989756722. The cubic root of 399744000 is about 736.6490808393.

The spelling of 399744000 in words is "three hundred ninety-nine million, seven hundred forty-four thousand".