378867456 has 270 divisors, whose sum is σ = 1249975496. Its totient is φ = 114048000.

The previous prime is 378867451. The next prime is 378867473. The reversal of 378867456 is 654768873.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378867451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2508981 + ... + 2509131.

Almost surely, 2^378867456 is an apocalyptic number.

378867456 is a gapful number since it is divisible by the number (36) 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 378867456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624987748).

378867456 is an abundant number, since it is smaller than the sum of its proper divisors (871108040).

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

378867456 is a wasteful number, since it uses less digits than its factorization.

378867456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 167 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 378867456 is about 19464.5178722721. The cubic root of 378867456 is about 723.5953499202.

The spelling of 378867456 in words is "three hundred seventy-eight million, eight hundred sixty-seven thousand, four hundred fifty-six".