380380 has 96 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 103680.

The previous prime is 380377. The next prime is 380383. The reversal of 380380 is 83083.

380380 = 1² + 2² + ... + 104².

380380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (380377) and next prime (380383).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20011 + ... + 20029.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2³⁸⁰³⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

380380 is an abundant number, since it is smaller than the sum of its proper divisors (748580).

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

380380 is a wasteful number, since it uses less digits than its factorization.

380380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 380380 is about 616.7495439804. The cubic root of 380380 is about 72.4557002457.

It can be divided in two parts, 3803 and 80, that added together give a palindrome (3883).

The spelling of 380380 in words is "three hundred eighty thousand, three hundred eighty".