4515360 has 96 divisors (see below), whose sum is σ = 14878080. Its totient is φ = 1148928.

The previous prime is 4515359. The next prime is 4515361. The reversal of 4515360 is 635154.

It is an interprime number because it is at equal distance from previous prime (4515359) and next prime (4515361).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4515360.

It is not an unprimeable number, because it can be changed into a prime (4515361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10836 + ... + 11244.

It is an arithmetic number, because the mean of its divisors is an integer number (154980).

Almost surely, 2^4515360 is an apocalyptic number.

4515360 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 4515360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439040).

4515360 is an abundant number, since it is smaller than the sum of its proper divisors (10362720).

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

4515360 is a wasteful number, since it uses less digits than its factorization.

4515360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 4515360 is about 2124.9376461440. The cubic root of 4515360 is about 165.2839920979.

The spelling of 4515360 in words is "four million, five hundred fifteen thousand, three hundred sixty".