379520 has 32 divisors (see below), whose sum is σ = 908820. Its totient is φ = 151552.

The previous prime is 379513. The next prime is 379531. The reversal of 379520 is 25973.

It can be written as a sum of positive squares in 2 ways, for example, as 379456 + 64 = 616^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 379520.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 379520.

It is an unprimeable number.

379520 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 3 ways as a sum of consecutive naturals, for example, 344 + ... + 936.

2³⁷⁹⁵²⁰ 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 379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454410).

379520 is an abundant number, since it is smaller than the sum of its proper divisors (529300).

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

379520 is an equidigital number, since it uses as much as digits as its factorization.

379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 379520 is about 616.0519458617. The cubic root of 379520 is about 72.4010540835.

The spelling of 379520 in words is "three hundred seventy-nine thousand, five hundred twenty".