384580644 has 96 divisors (see below), whose sum is σ = 1058211840. Its totient is φ = 106437888.

The previous prime is 384580643. The next prime is 384580663. The reversal of 384580644 is 446085483.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 384580596 and 384580605.

It is not an unprimeable number, because it can be changed into a prime (384580643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361257 + ... + 362319.

It is an arithmetic number, because the mean of its divisors is an integer number (11023040).

Almost surely, 2^384580644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384580644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529105920).

384580644 is an abundant number, since it is smaller than the sum of its proper divisors (673631196).

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

384580644 is a wasteful number, since it uses less digits than its factorization.

384580644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 384580644 is about 19610.7277784380. The cubic root of 384580644 is about 727.2144068594.

The spelling of 384580644 in words is "three hundred eighty-four million, five hundred eighty thousand, six hundred forty-four".