384784400 has 360 divisors, whose sum is σ = 1282542912. Its totient is φ = 107136000.

The previous prime is 384784357. The next prime is 384784451. The reversal of 384784400 is 4487483.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12412385 + ... + 12412415.

Almost surely, 2^384784400 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 384784400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641271456).

384784400 is an abundant number, since it is smaller than the sum of its proper divisors (897758512).

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

384784400 is a wasteful number, since it uses less digits than its factorization.

384784400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 384784400 is about 19615.9221042499. The cubic root of 384784400 is about 727.3428135108.

The spelling of 384784400 in words is "three hundred eighty-four million, seven hundred eighty-four thousand, four hundred".