379320480 has 432 divisors, whose sum is σ = 1631290752. Its totient is φ = 78566400.

The previous prime is 379320449. The next prime is 379320497. The reversal of 379320480 is 84023973.

379320480 is a `hidden beast` number, since 379 + 3 + 204 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1219525 + ... + 1219835.

It is an arithmetic number, because the mean of its divisors is an integer number (3776136).

Almost surely, 2^379320480 is an apocalyptic number.

379320480 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 379320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815645376).

379320480 is an abundant number, since it is smaller than the sum of its proper divisors (1251970272).

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

379320480 is a wasteful number, since it uses less digits than its factorization.

379320480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 379320480 is about 19476.1515705747. The cubic root of 379320480 is about 723.8836437859.

The spelling of 379320480 in words is "three hundred seventy-nine million, three hundred twenty thousand, four hundred eighty".