399628320 has 288 divisors, whose sum is σ = 1578201408. Its totient is φ = 84252672.

The previous prime is 399628301. The next prime is 399628343. The reversal of 399628320 is 23826993.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305107 + ... + 306413.

It is an arithmetic number, because the mean of its divisors is an integer number (5479866).

Almost surely, 2^399628320 is an apocalyptic number.

399628320 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 399628320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789100704).

399628320 is an abundant number, since it is smaller than the sum of its proper divisors (1178573088).

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

399628320 is a wasteful number, since it uses less digits than its factorization.

399628320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 399628320 is about 19990.7058404650. The cubic root of 399628320 is about 736.5780155350.

The spelling of 399628320 in words is "three hundred ninety-nine million, six hundred twenty-eight thousand, three hundred twenty".