384436980 has 144 divisors (see below), whose sum is σ = 1252362384. Its totient is φ = 95109120.

The previous prime is 384436957. The next prime is 384436991. The reversal of 384436980 is 89634483.

384436980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 20848356 + 363588624 = 4566^2 + 19068^2 .

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 47 ways as a sum of consecutive naturals, for example, 222520 + ... + 224240.

It is an arithmetic number, because the mean of its divisors is an integer number (8696961).

Almost surely, 2^384436980 is an apocalyptic number.

384436980 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 384436980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626181192).

384436980 is an abundant number, since it is smaller than the sum of its proper divisors (867925404).

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

384436980 is a wasteful number, since it uses less digits than its factorization.

384436980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 384436980 is about 19607.0645431691. The cubic root of 384436980 is about 727.1238428090.

The spelling of 384436980 in words is "three hundred eighty-four million, four hundred thirty-six thousand, nine hundred eighty".