163878400 has 240 divisors, whose sum is σ = 487111680. Its totient is φ = 53452800.

The previous prime is 163878397. The next prime is 163878409. The reversal of 163878400 is 4878361.

It is a happy number.

163878400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×163878400² = 53712259973120000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 163878400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163878409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2777571 + ... + 2777629.

It is an arithmetic number, because the mean of its divisors is an integer number (2029632).

Almost surely, 2^163878400 is an apocalyptic number.

163878400 is a gapful number since it is divisible by the number (10) 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 163878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243555840).

163878400 is an abundant number, since it is smaller than the sum of its proper divisors (323233280).

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

163878400 is an equidigital number, since it uses as much as digits as its factorization.

163878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 163878400 is about 12801.4999121197. The cubic root of 163878400 is about 547.2350489958.

The spelling of 163878400 in words is "one hundred sixty-three million, eight hundred seventy-eight thousand, four hundred".