380512 has 48 divisors (see below), whose sum is σ = 870912. Its totient is φ = 161920.

The previous prime is 380503. The next prime is 380533. The reversal of 380512 is 215083.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 380512.

It is a congruent number.

It is an unprimeable number.

380512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8073 + ... + 8119.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2³⁸⁰⁵¹² is an apocalyptic number.

380512 is a gapful number since it is divisible by the number (32) 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 380512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

380512 is an abundant number, since it is smaller than the sum of its proper divisors (490400).

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

380512 is a wasteful number, since it uses less digits than its factorization.

380512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 380512 is about 616.8565473431. The cubic root of 380512 is about 72.4640805026.

Adding to 380512 its reverse (215083), we get a palindrome (595595).

The spelling of 380512 in words is "three hundred eighty thousand, five hundred twelve".