4515984 has 60 divisors (see below), whose sum is σ = 13792272. Its totient is φ = 1368000.

The previous prime is 4515943. The next prime is 4515997. The reversal of 4515984 is 4895154.

It is a super-2 number, since 2×4515984² = 40788222976512, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159 + ... + 3009.

Almost surely, 2^4515984 is an apocalyptic number.

4515984 is a gapful number since it is divisible by the number (44) 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 4515984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896136).

4515984 is an abundant number, since it is smaller than the sum of its proper divisors (9276288).

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

4515984 is a wasteful number, since it uses less digits than its factorization.

4515984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2867 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 4515984 is about 2125.0844689094. The cubic root of 4515984 is about 165.2916055522.

The spelling of 4515984 in words is "four million, five hundred fifteen thousand, nine hundred eighty-four".