4854873600 has 720 divisors, whose sum is σ = 19175455728. Its totient is φ = 1167851520.

The previous prime is 4854873593. The next prime is 4854873607. The reversal of 4854873600 is 63784584.

4854873600 is a `hidden beast` number, since 48 + 548 + 7 + 3 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4854873593) and next prime (4854873607).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4854873607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72460767 + ... + 72460833.

Almost surely, 2^4854873600 is an apocalyptic number.

4854873600 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 4854873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9587727864).

4854873600 is an abundant number, since it is smaller than the sum of its proper divisors (14320582128).

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

4854873600 is a wasteful number, since it uses less digits than its factorization.

4854873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4854873600 is about 69676.9230089848. The cubic root of 4854873600 is about 1693.2690712105.

The spelling of 4854873600 in words is "four billion, eight hundred fifty-four million, eight hundred seventy-three thousand, six hundred".