379440 has 120 divisors (see below), whose sum is σ = 1392768. Its totient is φ = 92160.

The previous prime is 379439. The next prime is 379441. The reversal of 379440 is 44973.

379440 = 93² + 94² + ... + 124².

It is an interprime number because it is at equal distance from previous prime (379439) and next prime (379441).

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (379441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12225 + ... + 12255.

2³⁷⁹⁴⁴⁰ is an apocalyptic number.

379440 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 379440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696384).

379440 is an abundant number, since it is smaller than the sum of its proper divisors (1013328).

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

379440 is a wasteful number, since it uses less digits than its factorization.

379440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 379440 is about 615.9870128501. The cubic root of 379440 is about 72.3959665244.

The spelling of 379440 in words is "three hundred seventy-nine thousand, four hundred forty".