4875878400 has 264 divisors, whose sum is σ = 16642994304. Its totient is φ = 1258291200.

The previous prime is 4875878393. The next prime is 4875878407. The reversal of 4875878400 is 48785784.

It is an interprime number because it is at equal distance from previous prime (4875878393) and next prime (4875878407).

It is not an unprimeable number, because it can be changed into a prime (4875878407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157286385 + ... + 157286415.

Almost surely, 2^4875878400 is an apocalyptic number.

4875878400 is a gapful number since it is divisible by the number (40) 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 4875878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321497152).

4875878400 is an abundant number, since it is smaller than the sum of its proper divisors (11767115904).

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

4875878400 is an frugal number, since it uses more digits than its factorization.

4875878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 51.

The square root of 4875878400 is about 69827.4902885676. The cubic root of 4875878400 is about 1695.7075560792.

The spelling of 4875878400 in words is "four billion, eight hundred seventy-five million, eight hundred seventy-eight thousand, four hundred".