4890475200 has 336 divisors, whose sum is σ = 17414642336. Its totient is φ = 1194393600.

The previous prime is 4890475181. The next prime is 4890475217. The reversal of 4890475200 is 25740984.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11294184 + ... + 11294616.

Almost surely, 2^4890475200 is an apocalyptic number.

4890475200 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 4890475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8707321168).

4890475200 is an abundant number, since it is smaller than the sum of its proper divisors (12524167136).

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

4890475200 is a wasteful number, since it uses less digits than its factorization.

4890475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 4890475200 is about 69931.9326202272. The cubic root of 4890475200 is about 1697.3980033038.

The spelling of 4890475200 in words is "four billion, eight hundred ninety million, four hundred seventy-five thousand, two hundred".