378960 has 40 divisors (see below), whose sum is σ = 1175520. Its totient is φ = 100992.

The previous prime is 378953. The next prime is 378967. The reversal of 378960 is 69873.

It is a happy number.

378960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (378953) and next prime (378967).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×378960² = 287221363200, which contains 22 as substring.

It is an Ulam number.

It is a nialpdrome in base 15.

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 378960.

It is not an unprimeable number, because it can be changed into a prime (378967) 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 7 ways as a sum of consecutive naturals, for example, 550 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (29388).

2³⁷⁸⁹⁶⁰ is an apocalyptic number.

378960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378960 is an abundant number, since it is smaller than the sum of its proper divisors (796560).

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

378960 is a wasteful number, since it uses less digits than its factorization.

378960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1589 counting only the distinct ones).

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

The square root of 378960 is about 615.5972709491. The cubic root of 378960 is about 72.3654261426.

The spelling of 378960 in words is "three hundred seventy-eight thousand, nine hundred sixty".