4819020480 has 336 divisors, whose sum is σ = 17790383520. Its totient is φ = 1240178688.

The previous prime is 4819020469. The next prime is 4819020491. The reversal of 4819020480 is 840209184.

It is an interprime number because it is at equal distance from previous prime (4819020469) and next prime (4819020491).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2253972 + ... + 2256108.

It is an arithmetic number, because the mean of its divisors is an integer number (52947570).

Almost surely, 2^4819020480 is an apocalyptic number.

4819020480 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 4819020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8895191760).

4819020480 is an abundant number, since it is smaller than the sum of its proper divisors (12971363040).

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

4819020480 is a wasteful number, since it uses less digits than its factorization.

4819020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4819020480 is about 69419.1650770880. The cubic root of 4819020480 is about 1689.0905181968.

The spelling of 4819020480 in words is "four billion, eight hundred nineteen million, twenty thousand, four hundred eighty".