379416960 has 320 divisors, whose sum is σ = 1461786480. Its totient is φ = 93229056.

The previous prime is 379416941. The next prime is 379417009. The reversal of 379416960 is 69614973.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 673639 + ... + 674201.

Almost surely, 2^379416960 is an apocalyptic number.

379416960 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 379416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730893240).

379416960 is an abundant number, since it is smaller than the sum of its proper divisors (1082369520).

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

379416960 is a wasteful number, since it uses less digits than its factorization.

379416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 379416960 is about 19478.6282884602. The cubic root of 379416960 is about 723.9450117471.

The spelling of 379416960 in words is "three hundred seventy-nine million, four hundred sixteen thousand, nine hundred sixty".