399999600 has 960 divisors, whose sum is σ = 1963207680. Its totient is φ = 74649600.

The previous prime is 399999599. The next prime is 399999617. The reversal of 399999600 is 6999993.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10810782 + ... + 10810818.

It is an arithmetic number, because the mean of its divisors is an integer number (2045008).

Almost surely, 2^399999600 is an apocalyptic number.

399999600 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 399999600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981603840).

399999600 is an abundant number, since it is smaller than the sum of its proper divisors (1563208080).

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

399999600 is a wasteful number, since it uses less digits than its factorization.

399999600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1062882, while the sum is 54.

The square root of 399999600 is about 19999.9899999975. The cubic root of 399999600 is about 736.8060541259.

It can be divided in two parts, 399 and 999600, that added together give a palindrome (999999).

The spelling of 399999600 in words is "three hundred ninety-nine million, nine hundred ninety-nine thousand, six hundred".