4904505984 has 256 divisors, whose sum is σ = 16312492800. Its totient is φ = 1273036800.

The previous prime is 4904505973. The next prime is 4904506031. The reversal of 4904505984 is 4895054094.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1323334 + ... + 1327034.

It is an arithmetic number, because the mean of its divisors is an integer number (63720675).

Almost surely, 2^4904505984 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 4904505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156246400).

4904505984 is an abundant number, since it is smaller than the sum of its proper divisors (11407986816).

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

4904505984 is a wasteful number, since it uses less digits than its factorization.

4904505984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 4904505984 is about 70032.1782040228. The cubic root of 4904505984 is about 1699.0197328987.

The spelling of 4904505984 in words is "four billion, nine hundred four million, five hundred five thousand, nine hundred eighty-four".