378441504 has 192 divisors, whose sum is σ = 1288224000. Its totient is φ = 108041472.

The previous prime is 378441493. The next prime is 378441529. The reversal of 378441504 is 405144873.

378441504 is a `hidden beast` number, since 37 + 84 + 41 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295714 + ... + 296990.

It is an arithmetic number, because the mean of its divisors is an integer number (6709500).

Almost surely, 2^378441504 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 378441504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644112000).

378441504 is an abundant number, since it is smaller than the sum of its proper divisors (909782496).

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

378441504 is a wasteful number, since it uses less digits than its factorization.

378441504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 378441504 is about 19453.5730394187. The cubic root of 378441504 is about 723.3240743410.

The spelling of 378441504 in words is "three hundred seventy-eight million, four hundred forty-one thousand, five hundred four".