379140 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 98560.

The previous prime is 379133. The next prime is 379147. The reversal of 379140 is 41973.

379140 = 16² + 17² + ... + 104².

It is an interprime number because it is at equal distance from previous prime (379133) and next prime (379147).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 379140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379147) by changing a digit.

379140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4216 + ... + 4304.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2³⁷⁹¹⁴⁰ is an apocalyptic number.

379140 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 379140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

379140 is an abundant number, since it is smaller than the sum of its proper divisors (709500).

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

379140 is a wasteful number, since it uses less digits than its factorization.

379140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 379140 is about 615.7434530712. The cubic root of 379140 is about 72.3768818062.

The spelling of 379140 in words is "three hundred seventy-nine thousand, one hundred forty".