4854236800 has 192 divisors, whose sum is σ = 13940625600. Its totient is φ = 1635655680.

The previous prime is 4854236789. The next prime is 4854236819. The reversal of 4854236800 is 86324584.

It is a super-2 number, since 2×4854236800² = 47127229820948480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1319764 + ... + 1323436.

It is an arithmetic number, because the mean of its divisors is an integer number (72607425).

Almost surely, 2^4854236800 is an apocalyptic number.

4854236800 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 4854236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970312800).

4854236800 is an abundant number, since it is smaller than the sum of its proper divisors (9086388800).

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

4854236800 is a wasteful number, since it uses less digits than its factorization.

4854236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3763 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 4854236800 is about 69672.3531969461. The cubic root of 4854236800 is about 1693.1950342062.

The spelling of 4854236800 in words is "four billion, eight hundred fifty-four million, two hundred thirty-six thousand, eight hundred".