399306336 has 384 divisors, whose sum is σ = 1371686400. Its totient is φ = 99778560.

The previous prime is 399306329. The next prime is 399306367. The reversal of 399306336 is 633603993.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6767875 + ... + 6767933.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2^399306336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399306336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685843200).

399306336 is an abundant number, since it is smaller than the sum of its proper divisors (972380064).

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

399306336 is a wasteful number, since it uses less digits than its factorization.

399306336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 42.

The square root of 399306336 is about 19982.6508751967. The cubic root of 399306336 is about 736.3801399524.

The spelling of 399306336 in words is "three hundred ninety-nine million, three hundred six thousand, three hundred thirty-six".