380505160 has 128 divisors (see below), whose sum is σ = 1028505600. Its totient is φ = 123943680.

The previous prime is 380505149. The next prime is 380505163. The reversal of 380505160 is 61505083.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (380505163) 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, 511749 + ... + 512491.

It is an arithmetic number, because the mean of its divisors is an integer number (8035200).

Almost surely, 2^380505160 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 380505160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514252800).

380505160 is an abundant number, since it is smaller than the sum of its proper divisors (648000440).

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

380505160 is a wasteful number, since it uses less digits than its factorization.

380505160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 380505160 is about 19506.5414669028. The cubic root of 380505160 is about 724.6364630056.

The spelling of 380505160 in words is "three hundred eighty million, five hundred five thousand, one hundred sixty".