380576 has 24 divisors (see below), whose sum is σ = 856800. Its totient is φ = 163008.

The previous prime is 380563. The next prime is 380591. The reversal of 380576 is 675083.

380576 = 5⁵ + 6⁵ + ... + 11⁵.

380576 is nontrivially palindromic in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 626 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (35700).

2³⁸⁰⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

380576 is an abundant number, since it is smaller than the sum of its proper divisors (476224).

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

380576 is a wasteful number, since it uses less digits than its factorization.

380576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 380576 is about 616.9084210805. The cubic root of 380576 is about 72.4681429598.

It can be divided in two parts, 3805 and 76, that multiplied together give a triangular number (289180 = T₇₆₀).

The spelling of 380576 in words is "three hundred eighty thousand, five hundred seventy-six".