399720480 has 192 divisors, whose sum is σ = 1358985600. Its totient is φ = 98426880.

The previous prime is 399720463. The next prime is 399720481. The reversal of 399720480 is 84027993.

399720480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (399720481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 373386 + ... + 374454.

It is an arithmetic number, because the mean of its divisors is an integer number (7078050).

Almost surely, 2^399720480 is an apocalyptic number.

399720480 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 399720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679492800).

399720480 is an abundant number, since it is smaller than the sum of its proper divisors (959265120).

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

399720480 is a wasteful number, since it uses less digits than its factorization.

399720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 399720480 is about 19993.0107787697. The cubic root of 399720480 is about 736.6346329875.

The spelling of 399720480 in words is "three hundred ninety-nine million, seven hundred twenty thousand, four hundred eighty".