380580 has 24 divisors (see below), whose sum is σ = 1065792. Its totient is φ = 101472.

The previous prime is 380563. The next prime is 380591. The reversal of 380580 is 85083.

380580 = T₁₈₅ + T₁₈₆ + ... + T₂₀₄.

380580 is nontrivially palindromic in base 9 and base 11.

It is a super-3 number, since 3×380580³ = 165370919073336000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 380580.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3112 + ... + 3231.

It is an arithmetic number, because the mean of its divisors is an integer number (44408).

2³⁸⁰⁵⁸⁰ is an apocalyptic number.

380580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380580 is an abundant number, since it is smaller than the sum of its proper divisors (685212).

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

380580 is a wasteful number, since it uses less digits than its factorization.

380580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 380580 is about 616.9116630442. The cubic root of 380580 is about 72.4683968483.

The spelling of 380580 in words is "three hundred eighty thousand, five hundred eighty".