384977220 has 96 divisors (see below), whose sum is σ = 1161216000. Its totient is φ = 95018880.

The previous prime is 384977207. The next prime is 384977273. The reversal of 384977220 is 22779483.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38281 + ... + 47279.

It is an arithmetic number, because the mean of its divisors is an integer number (12096000).

Almost surely, 2^384977220 is an apocalyptic number.

384977220 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 384977220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580608000).

384977220 is an abundant number, since it is smaller than the sum of its proper divisors (776238780).

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

384977220 is a wasteful number, since it uses less digits than its factorization.

384977220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9065 (or 9063 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 384977220 is about 19620.8363736106. The cubic root of 384977220 is about 727.4642865760.

The spelling of 384977220 in words is "three hundred eighty-four million, nine hundred seventy-seven thousand, two hundred twenty".