379560960 has 132 divisors (see below), whose sum is σ = 1315328508. Its totient is φ = 101203968.

The previous prime is 379560953. The next prime is 379560991. The reversal of 379560960 is 69065973.

379560960 is a `hidden beast` number, since 37 + 9 + 5 + 609 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 188457984 + 191102976 = 13728^2 + 13824^2 .

It is a super-2 number, since 2×379560960² = 288133044712243200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41962 + ... + 50198.

Almost surely, 2^379560960 is an apocalyptic number.

379560960 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 379560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657664254).

379560960 is an abundant number, since it is smaller than the sum of its proper divisors (935767548).

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

379560960 is a wasteful number, since it uses less digits than its factorization.

379560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8268 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 379560960 is about 19482.3242966541. The cubic root of 379560960 is about 724.0365863709.

The spelling of 379560960 in words is "three hundred seventy-nine million, five hundred sixty thousand, nine hundred sixty".