379200 has 84 divisors (see below), whose sum is σ = 1259840. Its totient is φ = 99840.

The previous prime is 379199. The next prime is 379207. The reversal of 379200 is 2973.

It is a nialpdrome in base 15.

It is a zygodrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 379200.

It is not an unprimeable number, because it can be changed into a prime (379207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4761 + ... + 4839.

2³⁷⁹²⁰⁰ is an apocalyptic number.

379200 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 379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629920).

379200 is an abundant number, since it is smaller than the sum of its proper divisors (880640).

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

379200 is a wasteful number, since it uses less digits than its factorization.

379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 379200 is about 615.7921727336. The cubic root of 379200 is about 72.3806995550.

The spelling of 379200 in words is "three hundred seventy-nine thousand, two hundred".