399883680 has 144 divisors (see below), whose sum is σ = 1559585664. Its totient is φ = 91399680.

The previous prime is 399883643. The next prime is 399883723. The reversal of 399883680 is 86388993.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9756 + ... + 29915.

It is an arithmetic number, because the mean of its divisors is an integer number (10830456).

Almost surely, 2^399883680 is an apocalyptic number.

399883680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

399883680 is an abundant number, since it is smaller than the sum of its proper divisors (1159701984).

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

399883680 is a wasteful number, since it uses less digits than its factorization.

399883680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39699 (or 39688 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 399883680 is about 19997.0917885577. The cubic root of 399883680 is about 736.7348717132.

It can be divided in two parts, 3998 and 83680, that added together give a palindrome (87678).

The spelling of 399883680 in words is "three hundred ninety-nine million, eight hundred eighty-three thousand, six hundred eighty".