378609 has 24 divisors (see below), whose sum is σ = 638400. Its totient is φ = 195360.

The previous prime is 378601. The next prime is 378619. The reversal of 378609 is 906873.

It is a happy number.

It is not a de Polignac number, because 378609 - 2³ = 378601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 378609.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2467 + ... + 2615.

It is an arithmetic number, because the mean of its divisors is an integer number (26600).

2³⁷⁸⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

378609 is a deficient number, since it is larger than the sum of its proper divisors (259791).

378609 is a wasteful number, since it uses less digits than its factorization.

378609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 378609 is about 615.3121159217. The cubic root of 378609 is about 72.3430771605.

It can be divided in two parts, 37 and 8609, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 378609 in words is "three hundred seventy-eight thousand, six hundred nine".