4515840 has 216 divisors, whose sum is σ = 18206370. Its totient is φ = 1032192.

The previous prime is 4515839. The next prime is 4515857. The reversal of 4515840 is 485154.

4515840 = T₅₆ + T₅₇ + ... + T₃₀₀.

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 451584 = 2016^2 + 672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 645117 + ... + 645123.

Almost surely, 2^4515840 is an apocalyptic number.

4515840 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 4515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9103185).

4515840 is an abundant number, since it is smaller than the sum of its proper divisors (13690530).

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

4515840 is a wasteful number, since it uses less digits than its factorization.

4515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 4515840 is about 2125.0505876332. The cubic root of 4515840 is about 165.2898486634.

The spelling of 4515840 in words is "four million, five hundred fifteen thousand, eight hundred forty".