4819459008 has 448 divisors, whose sum is σ = 16713768960. Its totient is φ = 1190965248.

The previous prime is 4819458991. The next prime is 4819459009. The reversal of 4819459008 is 8009549184.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4819459009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26924263 + ... + 26924441.

It is an arithmetic number, because the mean of its divisors is an integer number (37307520).

Almost surely, 2^4819459008 is an apocalyptic number.

4819459008 is a gapful number since it is divisible by the number (48) 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 4819459008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356884480).

4819459008 is an abundant number, since it is smaller than the sum of its proper divisors (11894309952).

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

4819459008 is a wasteful number, since it uses less digits than its factorization.

4819459008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 4819459008 is about 69422.3235566197. The cubic root of 4819459008 is about 1689.1417520539.

The spelling of 4819459008 in words is "four billion, eight hundred nineteen million, four hundred fifty-nine thousand, eight".