380804928 has 224 divisors, whose sum is σ = 1223491584. Its totient is φ = 102187008.

The previous prime is 380804911. The next prime is 380804959. The reversal of 380804928 is 829408083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 380804928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2998401 + ... + 2998527.

It is an arithmetic number, because the mean of its divisors is an integer number (5462016).

Almost surely, 2^380804928 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 380804928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611745792).

380804928 is an abundant number, since it is smaller than the sum of its proper divisors (842686656).

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

380804928 is a wasteful number, since it uses less digits than its factorization.

380804928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 380804928 is about 19514.2237355217. The cubic root of 380804928 is about 724.8267064216.

The spelling of 380804928 in words is "three hundred eighty million, eight hundred four thousand, nine hundred twenty-eight".