379633440 has 144 divisors (see below), whose sum is σ = 1237166784. Its totient is φ = 97850880.

The previous prime is 379633421. The next prime is 379633453. The reversal of 379633440 is 44336973.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 460869 + ... + 461691.

It is an arithmetic number, because the mean of its divisors is an integer number (8591436).

Almost surely, 2^379633440 is an apocalyptic number.

379633440 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 379633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618583392).

379633440 is an abundant number, since it is smaller than the sum of its proper divisors (857533344).

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

379633440 is a wasteful number, since it uses less digits than its factorization.

379633440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The square root of 379633440 is about 19484.1843555228. The cubic root of 379633440 is about 724.0826701688.

The spelling of 379633440 in words is "three hundred seventy-nine million, six hundred thirty-three thousand, four hundred forty".