380110480 has 80 divisors (see below), whose sum is σ = 940051440. Its totient is φ = 142442496.

The previous prime is 380110477. The next prime is 380110501. The reversal of 380110480 is 84011083.

It can be written as a sum of positive squares in 8 ways, for example, as 15147664 + 364962816 = 3892^2 + 19104^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376216 + ... + 377224.

It is an arithmetic number, because the mean of its divisors is an integer number (11750643).

Almost surely, 2^380110480 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 380110480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470025720).

380110480 is an abundant number, since it is smaller than the sum of its proper divisors (559940960).

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

380110480 is a wasteful number, since it uses less digits than its factorization.

380110480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 380110480 is about 19496.4222358873. The cubic root of 380110480 is about 724.3858326235.

The spelling of 380110480 in words is "three hundred eighty million, one hundred ten thousand, four hundred eighty".