378504 has 48 divisors (see below), whose sum is σ = 1173120. Its totient is φ = 108000.

The previous prime is 378503. The next prime is 378509. The reversal of 378504 is 405873.

It is not an unprimeable number, because it can be changed into a prime (378503) 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, 129 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (24440).

2³⁷⁸⁵⁰⁴ 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 378504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586560).

378504 is an abundant number, since it is smaller than the sum of its proper divisors (794616).

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

378504 is a wasteful number, since it uses less digits than its factorization.

378504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 378504 is about 615.2267874532. The cubic root of 378504 is about 72.3363888837.

The spelling of 378504 in words is "three hundred seventy-eight thousand, five hundred four".