384993280 has 192 divisors, whose sum is σ = 1089728640. Its totient is φ = 127795200.

The previous prime is 384993269. The next prime is 384993361. The reversal of 384993280 is 82399483.

It is a self number, because there is not a number n which added to its sum of digits gives 384993280.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2938815 + ... + 2938945.

It is an arithmetic number, because the mean of its divisors is an integer number (5675670).

Almost surely, 2^384993280 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 384993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544864320).

384993280 is an abundant number, since it is smaller than the sum of its proper divisors (704735360).

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

384993280 is a wasteful number, since it uses less digits than its factorization.

384993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 384993280 is about 19621.2456281450. The cubic root of 384993280 is about 727.4744022516.

The spelling of 384993280 in words is "three hundred eighty-four million, nine hundred ninety-three thousand, two hundred eighty".