399820800 has 288 divisors, whose sum is σ = 1401472800. Its totient is φ = 100270080.

The previous prime is 399820763. The next prime is 399820831. The reversal of 399820800 is 8028993.

It is a super-2 number, since 2×399820800² = 319713344225280000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2918332 + ... + 2918468.

It is an arithmetic number, because the mean of its divisors is an integer number (4866225).

Almost surely, 2^399820800 is an apocalyptic number.

399820800 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 399820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700736400).

399820800 is an abundant number, since it is smaller than the sum of its proper divisors (1001652000).

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

399820800 is a wasteful number, since it uses less digits than its factorization.

399820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 399820800 is about 19995.5194981276. The cubic root of 399820800 is about 736.6962535521.

The spelling of 399820800 in words is "three hundred ninety-nine million, eight hundred twenty thousand, eight hundred".