4519840 has 96 divisors (see below), whose sum is σ = 12002256. Its totient is φ = 1597440.

The previous prime is 4519829. The next prime is 4519843. The reversal of 4519840 is 489154.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 535824 + 3984016 = 732^2 + 1996^2 .

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4519843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85254 + ... + 85306.

Almost surely, 2^4519840 is an apocalyptic number.

4519840 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 4519840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001128).

4519840 is an abundant number, since it is smaller than the sum of its proper divisors (7482416).

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

4519840 is a wasteful number, since it uses less digits than its factorization.

4519840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 4519840 is about 2125.9915333792. The cubic root of 4519840 is about 165.3386372446.

The spelling of 4519840 in words is "four million, five hundred nineteen thousand, eight hundred forty".