4804309440 has 336 divisors, whose sum is σ = 19011912192. Its totient is φ = 1090787328.

The previous prime is 4804309423. The next prime is 4804309441. The reversal of 4804309440 is 449034084.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×4804309440² = 46162778390546227200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4804309395 and 4804309404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4804309441) by changing a digit.

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, 3366007 + ... + 3367433.

It is an arithmetic number, because the mean of its divisors is an integer number (56583072).

Almost surely, 2^4804309440 is an apocalyptic number.

4804309440 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 4804309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9505956096).

4804309440 is an abundant number, since it is smaller than the sum of its proper divisors (14207602752).

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

4804309440 is a wasteful number, since it uses less digits than its factorization.

4804309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4804309440 is about 69313.1260296345. The cubic root of 4804309440 is about 1687.3700021668.

The spelling of 4804309440 in words is "four billion, eight hundred four million, three hundred nine thousand, four hundred forty".