399006720 has 264 divisors, whose sum is σ = 1581332064. Its totient is φ = 91127808.

The previous prime is 399006703. The next prime is 399006739. The reversal of 399006720 is 27600993.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 321942 + ... + 323178.

Almost surely, 2^399006720 is an apocalyptic number.

399006720 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 399006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790666032).

399006720 is an abundant number, since it is smaller than the sum of its proper divisors (1182325344).

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

399006720 is a wasteful number, since it uses less digits than its factorization.

399006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 399006720 is about 19975.1525651245. The cubic root of 399006720 is about 736.1959150787.

The spelling of 399006720 in words is "three hundred ninety-nine million, six thousand, seven hundred twenty".