4509340920 has 192 divisors, whose sum is σ = 16805430720. Its totient is φ = 1027233792.

The previous prime is 4509340903. The next prime is 4509340937. The reversal of 4509340920 is 290439054.

It is an interprime number because it is at equal distance from previous prime (4509340903) and next prime (4509340937).

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

It is a congruent number.

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, 785902 + ... + 791618.

It is an arithmetic number, because the mean of its divisors is an integer number (87528285).

Almost surely, 2^4509340920 is an apocalyptic number.

4509340920 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 4509340920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402715360).

4509340920 is an abundant number, since it is smaller than the sum of its proper divisors (12296089800).

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

4509340920 is a wasteful number, since it uses less digits than its factorization.

4509340920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4509340920 is about 67151.6263392034. The cubic root of 4509340920 is about 1652.1051697043.

Adding to 4509340920 its reverse (290439054), we get a palindrome (4799779974).

The spelling of 4509340920 in words is "four billion, five hundred nine million, three hundred forty thousand, nine hundred twenty".