380516160 has 112 divisors (see below), whose sum is σ = 1211982336. Its totient is φ = 101148672.

The previous prime is 380516153. The next prime is 380516161. The reversal of 380516160 is 61615083.

It is a super-2 number, since 2×380516160² = 289585096042291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380516161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582394 + ... + 583046.

Almost surely, 2^380516160 is an apocalyptic number.

380516160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605991168).

380516160 is an abundant number, since it is smaller than the sum of its proper divisors (831466176).

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

380516160 is a wasteful number, since it uses less digits than its factorization.

380516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 380516160 is about 19506.8234215620. The cubic root of 380516160 is about 724.6434457618.

The spelling of 380516160 in words is "three hundred eighty million, five hundred sixteen thousand, one hundred sixty".