379280 has 40 divisors (see below), whose sum is σ = 964224. Its totient is φ = 137600.

The previous prime is 379277. The next prime is 379283. The reversal of 379280 is 82973.

379280 = T₃₈₇ + T₃₈₈ + ... + T₃₉₁.

379280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (379277) and next prime (379283).

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

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 379280.

It is not an unprimeable number, because it can be changed into a prime (379283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 665 + ... + 1095.

2³⁷⁹²⁸⁰ 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 379280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482112).

379280 is an abundant number, since it is smaller than the sum of its proper divisors (584944).

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

379280 is a wasteful number, since it uses less digits than its factorization.

379280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 379280 is about 615.8571262882. The cubic root of 379280 is about 72.3857892604.

The spelling of 379280 in words is "three hundred seventy-nine thousand, two hundred eighty".