379978560 has 448 divisors, whose sum is σ = 1536192000. Its totient is φ = 87588864.

The previous prime is 379978541. The next prime is 379978583. The reversal of 379978560 is 65879973.

379978560 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 78 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 379978497 and 379978506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1909341 + ... + 1909539.

It is an arithmetic number, because the mean of its divisors is an integer number (3429000).

Almost surely, 2^379978560 is an apocalyptic number.

379978560 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 379978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096000).

379978560 is an abundant number, since it is smaller than the sum of its proper divisors (1156213440).

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

379978560 is a wasteful number, since it uses less digits than its factorization.

379978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 379978560 is about 19493.0387574642. The cubic root of 379978560 is about 724.3020218709.

The spelling of 379978560 in words is "three hundred seventy-nine million, nine hundred seventy-eight thousand, five hundred sixty".