379940 has 36 divisors (see below), whose sum is σ = 882588. Its totient is φ = 137280.

The previous prime is 379931. The next prime is 379963. The reversal of 379940 is 49973.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 123904 + 256036 = 352^2 + 506^2 .

It is a junction number, because it is equal to n+sod(n) for n = 379897 and 379906.

It is an unprimeable number.

379940 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 11 ways as a sum of consecutive naturals, for example, 2342 + ... + 2498.

2³⁷⁹⁹⁴⁰ 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 379940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441294).

379940 is an abundant number, since it is smaller than the sum of its proper divisors (502648).

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

379940 is a wasteful number, since it uses less digits than its factorization.

379940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 379940 is about 616.3927319494. The cubic root of 379940 is about 72.4277520462.

The spelling of 379940 in words is "three hundred seventy-nine thousand, nine hundred forty".