379920 has 40 divisors (see below), whose sum is σ = 1178496. Its totient is φ = 101248.

The previous prime is 379913. The next prime is 379927. The reversal of 379920 is 29973.

It is an interprime number because it is at equal distance from previous prime (379913) and next prime (379927).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (379927) 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 7 ways as a sum of consecutive naturals, for example, 552 + ... + 1031.

2³⁷⁹⁹²⁰ is an apocalyptic number.

379920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379920 is an abundant number, since it is smaller than the sum of its proper divisors (798576).

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

379920 is a wasteful number, since it uses less digits than its factorization.

379920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 379920 is about 616.3765083129. The cubic root of 379920 is about 72.4264811609.

The spelling of 379920 in words is "three hundred seventy-nine thousand, nine hundred twenty".