399880800 has 648 divisors, whose sum is σ = 1701875448. Its totient is φ = 91238400.

The previous prime is 399880781. The next prime is 399880807. The reversal of 399880800 is 8088993.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399880807) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23522392 + ... + 23522408.

It is an arithmetic number, because the mean of its divisors is an integer number (2626351).

Almost surely, 2^399880800 is an apocalyptic number.

399880800 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 399880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850937724).

399880800 is an abundant number, since it is smaller than the sum of its proper divisors (1301994648).

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

399880800 is a wasteful number, since it uses less digits than its factorization.

399880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 399880800 is about 19997.0197779569. The cubic root of 399880800 is about 736.7331030310.

The spelling of 399880800 in words is "three hundred ninety-nine million, eight hundred eighty thousand, eight hundred".