384809280 has 336 divisors, whose sum is σ = 1384889280. Its totient is φ = 90243072.

The previous prime is 384809273. The next prime is 384809281. The reversal of 384809280 is 82908483.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384809281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5271324 + ... + 5271396.

Almost surely, 2^384809280 is an apocalyptic number.

384809280 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 384809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692444640).

384809280 is an abundant number, since it is smaller than the sum of its proper divisors (1000080000).

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

384809280 is a wasteful number, since it uses less digits than its factorization.

384809280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 384809280 is about 19616.5562726999. The cubic root of 384809280 is about 727.3584897347.

The spelling of 384809280 in words is "three hundred eighty-four million, eight hundred nine thousand, two hundred eighty".