379754960 has 80 divisors (see below), whose sum is σ = 981603840. Its totient is φ = 135682560.

The previous prime is 379754941. The next prime is 379754989. The reversal of 379754960 is 69457973.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 379754899 and 379754908.

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 15 ways as a sum of consecutive naturals, for example, 26351 + ... + 38129.

It is an arithmetic number, because the mean of its divisors is an integer number (12270048).

Almost surely, 2^379754960 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 379754960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490801920).

379754960 is an abundant number, since it is smaller than the sum of its proper divisors (601848880).

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

379754960 is a wasteful number, since it uses less digits than its factorization.

379754960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11836 (or 11830 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 50.

The square root of 379754960 is about 19487.3025326750. The cubic root of 379754960 is about 724.1599211254.

The spelling of 379754960 in words is "three hundred seventy-nine million, seven hundred fifty-four thousand, nine hundred sixty".