378904500 has 384 divisors, whose sum is σ = 1408942080. Its totient is φ = 87091200.

The previous prime is 378904469. The next prime is 378904501. The reversal of 378904500 is 5409873.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378904501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2983437 + ... + 2983563.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2^378904500 is an apocalyptic number.

378904500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378904500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704471040).

378904500 is an abundant number, since it is smaller than the sum of its proper divisors (1030037580).

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

378904500 is a wasteful number, since it uses less digits than its factorization.

378904500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 378904500 is about 19465.4694266540. The cubic root of 378904500 is about 723.6189324793.

The spelling of 378904500 in words is "three hundred seventy-eight million, nine hundred four thousand, five hundred".