384659408 has 200 divisors, whose sum is σ = 1000293120. Its totient is φ = 142248960.

The previous prime is 384659369. The next prime is 384659413. The reversal of 384659408 is 804956483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12408353 + ... + 12408383.

Almost surely, 2^384659408 is an apocalyptic number.

384659408 is a gapful number since it is divisible by the number (38) 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 384659408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500146560).

384659408 is an abundant number, since it is smaller than the sum of its proper divisors (615633712).

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

384659408 is a wasteful number, since it uses less digits than its factorization.

384659408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The square root of 384659408 is about 19612.7358621891. The cubic root of 384659408 is about 727.2640491616.

The spelling of 384659408 in words is "three hundred eighty-four million, six hundred fifty-nine thousand, four hundred eight".