384842880 has 128 divisors (see below), whose sum is σ = 1363046400. Its totient is φ = 102620160.

The previous prime is 384842873. The next prime is 384842947. The reversal of 384842880 is 88248483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 6145 + ... + 28415.

It is an arithmetic number, because the mean of its divisors is an integer number (10648800).

Almost surely, 2^384842880 is an apocalyptic number.

384842880 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 384842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681523200).

384842880 is an abundant number, since it is smaller than the sum of its proper divisors (978203520).

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

384842880 is a wasteful number, since it uses less digits than its factorization.

384842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22299 (or 22281 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 384842880 is about 19617.4126734389. The cubic root of 384842880 is about 727.3796591254.

The spelling of 384842880 in words is "three hundred eighty-four million, eight hundred forty-two thousand, eight hundred eighty".