4904851600 has 120 divisors (see below), whose sum is σ = 12883550400. Its totient is φ = 1779648000.

The previous prime is 4904851571. The next prime is 4904851603. The reversal of 4904851600 is 61584094.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4904851600.

It is not an unprimeable number, because it can be changed into a prime (4904851603) 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 23 ways as a sum of consecutive naturals, for example, 2634670 + ... + 2636530.

It is an arithmetic number, because the mean of its divisors is an integer number (107362920).

Almost surely, 2^4904851600 is an apocalyptic number.

4904851600 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 4904851600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441775200).

4904851600 is an abundant number, since it is smaller than the sum of its proper divisors (7978698800).

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

4904851600 is a wasteful number, since it uses less digits than its factorization.

4904851600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 4904851600 is about 70034.6457119617. The cubic root of 4904851600 is about 1699.0596414109.

The spelling of 4904851600 in words is "four billion, nine hundred four million, eight hundred fifty-one thousand, six hundred".