4509840 has 160 divisors (see below), whose sum is σ = 15713280. Its totient is φ = 1064448.

The previous prime is 4509793. The next prime is 4509851. The reversal of 4509840 is 489054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4509798 and 4509807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104859 + ... + 104901.

It is an arithmetic number, because the mean of its divisors is an integer number (98208).

Almost surely, 2^4509840 is an apocalyptic number.

4509840 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 4509840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7856640).

4509840 is an abundant number, since it is smaller than the sum of its proper divisors (11203440).

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

4509840 is a wasteful number, since it uses less digits than its factorization.

4509840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4509840 is about 2123.6383872967. The cubic root of 4509840 is about 165.2166117431.

The spelling of 4509840 in words is "four million, five hundred nine thousand, eight hundred forty".