380520 has 96 divisors (see below), whose sum is σ = 1422720. Its totient is φ = 86400.

The previous prime is 380503. The next prime is 380533. The reversal of 380520 is 25083.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 380493 and 380502.

It is an unprimeable number.

380520 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 23 ways as a sum of consecutive naturals, for example, 2445 + ... + 2595.

It is an arithmetic number, because the mean of its divisors is an integer number (14820).

2³⁸⁰⁵²⁰ is an apocalyptic number.

380520 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 380520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711360).

380520 is an abundant number, since it is smaller than the sum of its proper divisors (1042200).

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

380520 is a wasteful number, since it uses less digits than its factorization.

380520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 380520 is about 616.8630317988. The cubic root of 380520 is about 72.4645883347.

It can be divided in two parts, 380 and 520, that added together give a square (900 = 30²).

The spelling of 380520 in words is "three hundred eighty thousand, five hundred twenty".