384228840 has 64 divisors (see below), whose sum is σ = 1157068800. Its totient is φ = 102071552.

The previous prime is 384228809. The next prime is 384228841. The reversal of 384228840 is 48822483.

It is not an unprimeable number, because it can be changed into a prime (384228841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26329 + ... + 38231.

It is an arithmetic number, because the mean of its divisors is an integer number (18079200).

Almost surely, 2^384228840 is an apocalyptic number.

384228840 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 384228840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578534400).

384228840 is an abundant number, since it is smaller than the sum of its proper divisors (772839960).

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

384228840 is a wasteful number, since it uses less digits than its factorization.

384228840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12186 (or 12182 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 384228840 is about 19601.7560437834. The cubic root of 384228840 is about 726.9925938346.

The spelling of 384228840 in words is "three hundred eighty-four million, two hundred twenty-eight thousand, eight hundred forty".