4515600 has 120 divisors (see below), whose sum is σ = 14945472. Its totient is φ = 1164800.

The previous prime is 4515551. The next prime is 4515601. The reversal of 4515600 is 65154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (4515601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63565 + ... + 63635.

Almost surely, 2^4515600 is an apocalyptic number.

4515600 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 4515600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472736).

4515600 is an abundant number, since it is smaller than the sum of its proper divisors (10429872).

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

4515600 is a wasteful number, since it uses less digits than its factorization.

4515600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 4515600 is about 2124.9941176389. The cubic root of 4515600 is about 165.2869204326.

It can be divided in two parts, 4515 and 600, that added together give a palindrome (5115).

The spelling of 4515600 in words is "four million, five hundred fifteen thousand, six hundred".