378309 has 8 divisors (see below), whose sum is σ = 531040. Its totient is φ = 238896.

The previous prime is 378289. The next prime is 378317. The reversal of 378309 is 903873.

378309 = 132² + 133² + ... + 150².

378309 is nontrivially palindromic in base 16.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 378309 - 2⁵ = 378277 is a prime.

It is a Duffinian number.

378309 is an undulating number in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378309.

It is not an unprimeable number, because it can be changed into a prime (378379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3262 + ... + 3375.

It is an arithmetic number, because the mean of its divisors is an integer number (66380).

2³⁷⁸³⁰⁹ is an apocalyptic number.

It is an amenable number.

378309 is a deficient number, since it is larger than the sum of its proper divisors (152731).

378309 is a wasteful number, since it uses less digits than its factorization.

378309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 378309 is about 615.0682888916. The cubic root of 378309 is about 72.3239645158.

The spelling of 378309 in words is "three hundred seventy-eight thousand, three hundred nine".