4908201984 has 288 divisors, whose sum is σ = 16396380000. Its totient is φ = 1385496576.

The previous prime is 4908201973. The next prime is 4908201989. The reversal of 4908201984 is 4891028094.

4908201984 is a `hidden beast` number, since 490 + 82 + 0 + 1 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4908201989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14063442 + ... + 14063790.

It is an arithmetic number, because the mean of its divisors is an integer number (56931875).

Almost surely, 2^4908201984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4908201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8198190000).

4908201984 is an abundant number, since it is smaller than the sum of its proper divisors (11488178016).

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

4908201984 is a wasteful number, since it uses less digits than its factorization.

4908201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 4908201984 is about 70058.5611042648. The cubic root of 4908201984 is about 1699.4464153684.

It can be divided in two parts, 490820 and 1984, that added together give a square (492804 = 702²).

The spelling of 4908201984 in words is "four billion, nine hundred eight million, two hundred one thousand, nine hundred eighty-four".