378560 has 84 divisors (see below), whose sum is σ = 1115568. Its totient is φ = 119808.

The previous prime is 378559. The next prime is 378569. The reversal of 378560 is 65873.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378560.

It is not an unprimeable number, because it can be changed into a prime (378569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29114 + ... + 29126.

2³⁷⁸⁵⁶⁰ 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 378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557784).

378560 is an abundant number, since it is smaller than the sum of its proper divisors (737008).

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

378560 is a wasteful number, since it uses less digits than its factorization.

378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 378560 is about 615.2722974424. The cubic root of 378560 is about 72.3399561186.

Multiplying 378560 by its product of nonzero digits (5040), we get a square (1907942400 = 43680²).

The spelling of 378560 in words is "three hundred seventy-eight thousand, five hundred sixty".