378920 has 16 divisors (see below), whose sum is σ = 852660. Its totient is φ = 151552.

The previous prime is 378919. The next prime is 378929. The reversal of 378920 is 29873.

It can be written as a sum of positive squares in 2 ways, for example, as 357604 + 21316 = 598^2 + 146^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378920.

It is not an unprimeable number, because it can be changed into a prime (378929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4697 + ... + 4776.

2³⁷⁸⁹²⁰ is an apocalyptic number.

It is an amenable number.

378920 is an abundant number, since it is smaller than the sum of its proper divisors (473740).

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

378920 is a wasteful number, since it uses less digits than its factorization.

378920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9484 (or 9480 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 378920 is about 615.5647813187. The cubic root of 378920 is about 72.3628799469.

The spelling of 378920 in words is "three hundred seventy-eight thousand, nine hundred twenty".