378804480 has 144 divisors (see below), whose sum is σ = 1262701440. Its totient is φ = 96600064.

The previous prime is 378804479. The next prime is 378804487. The reversal of 378804480 is 84408873.

378804480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378804487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86176 + ... + 90464.

It is an arithmetic number, because the mean of its divisors is an integer number (8768760).

Almost surely, 2^378804480 is an apocalyptic number.

378804480 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 378804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631350720).

378804480 is an abundant number, since it is smaller than the sum of its proper divisors (883896960).

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

378804480 is a wasteful number, since it uses less digits than its factorization.

378804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 378804480 is about 19462.9000922267. The cubic root of 378804480 is about 723.5552552775. Note that the first 3 decimals are identical.

The spelling of 378804480 in words is "three hundred seventy-eight million, eight hundred four thousand, four hundred eighty".