380240 has 60 divisors (see below), whose sum is σ = 1038996. Its totient is φ = 129024.

The previous prime is 380231. The next prime is 380251. The reversal of 380240 is 42083.

380240 = 8² + 9² + ... + 104².

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 226576 = 392^2 + 476^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3872 + ... + 3968.

2³⁸⁰²⁴⁰ 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 380240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519498).

380240 is an abundant number, since it is smaller than the sum of its proper divisors (658756).

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

380240 is a wasteful number, since it uses less digits than its factorization.

380240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 380240 is about 616.6360352753. The cubic root of 380240 is about 72.4468099757.

The spelling of 380240 in words is "three hundred eighty thousand, two hundred forty".