379407 has 24 divisors (see below), whose sum is σ = 615600. Its totient is φ = 206976.

The previous prime is 379399. The next prime is 379417. The reversal of 379407 is 704973.

It is not a de Polignac number, because 379407 - 2³ = 379399 is a prime.

379407 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379417) 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, 4219 + ... + 4307.

It is an arithmetic number, because the mean of its divisors is an integer number (25650).

2³⁷⁹⁴⁰⁷ is an apocalyptic number.

379407 is a deficient number, since it is larger than the sum of its proper divisors (236193).

379407 is a wasteful number, since it uses less digits than its factorization.

379407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 379407 is about 615.9602259887. The cubic root of 379407 is about 72.3938676979.

The spelling of 379407 in words is "three hundred seventy-nine thousand, four hundred seven".