380040 has 32 divisors (see below), whose sum is σ = 1140480. Its totient is φ = 101312.

The previous prime is 379999. The next prime is 380041. The reversal of 380040 is 40083.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 380040.

It is not an unprimeable number, because it can be changed into a prime (380041) by changing a digit.

380040 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, 1464 + ... + 1703.

It is an arithmetic number, because the mean of its divisors is an integer number (35640).

2³⁸⁰⁰⁴⁰ is an apocalyptic number.

380040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380040 is an abundant number, since it is smaller than the sum of its proper divisors (760440).

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

380040 is a wasteful number, since it uses less digits than its factorization.

380040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 380040 is about 616.4738437274. The cubic root of 380040 is about 72.4341058036.

The spelling of 380040 in words is "three hundred eighty thousand, forty".