378912480 has 96 divisors (see below), whose sum is σ = 1213234848. Its totient is φ = 99379200.

The previous prime is 378912467. The next prime is 378912481. The reversal of 378912480 is 84219873.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378912481) 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, 22810 + ... + 35750.

It is an arithmetic number, because the mean of its divisors is an integer number (12637863).

Almost surely, 2^378912480 is an apocalyptic number.

378912480 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 378912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606617424).

378912480 is an abundant number, since it is smaller than the sum of its proper divisors (834322368).

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

378912480 is a wasteful number, since it uses less digits than its factorization.

378912480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13020 (or 13012 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 378912480 is about 19465.6744039347. The cubic root of 378912480 is about 723.6240124213.

The spelling of 378912480 in words is "three hundred seventy-eight million, nine hundred twelve thousand, four hundred eighty".