379439424 has 448 divisors, whose sum is σ = 1456537600. Its totient is φ = 94058496.

The previous prime is 379439381. The next prime is 379439429. The reversal of 379439424 is 424934973.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 379439424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379439429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2987649 + ... + 2987775.

It is an arithmetic number, because the mean of its divisors is an integer number (3251200).

Almost surely, 2^379439424 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 379439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728268800).

379439424 is an abundant number, since it is smaller than the sum of its proper divisors (1077098176).

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

379439424 is a wasteful number, since it uses less digits than its factorization.

379439424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 379439424 is about 19479.2049119054. The cubic root of 379439424 is about 723.9592989136.

The spelling of 379439424 in words is "three hundred seventy-nine million, four hundred thirty-nine thousand, four hundred twenty-four".