380509824 has 64 divisors (see below), whose sum is σ = 1020840480. Its totient is φ = 125568000.

The previous prime is 380509819. The next prime is 380509837. The reversal of 380509824 is 428905083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 33879 + ... + 43689.

Almost surely, 2^380509824 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 380509824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510420240).

380509824 is an abundant number, since it is smaller than the sum of its proper divisors (640330656).

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

380509824 is a wasteful number, since it uses less digits than its factorization.

380509824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9929 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 380509824 is about 19506.6610161760. The cubic root of 380509824 is about 724.6394237106.

It can be divided in two parts, 38050 and 9824, that added together give a palindrome (47874).

The spelling of 380509824 in words is "three hundred eighty million, five hundred nine thousand, eight hundred twenty-four".