4532560 has 40 divisors (see below), whose sum is σ = 10747080. Its totient is φ = 1777152.

The previous prime is 4532531. The next prime is 4532581. The reversal of 4532560 is 652354.

It can be written as a sum of positive squares in 4 ways, for example, as 753424 + 3779136 = 868^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3706 + ... + 4774.

It is an arithmetic number, because the mean of its divisors is an integer number (268677).

Almost surely, 2^4532560 is an apocalyptic number.

4532560 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 4532560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373540).

4532560 is an abundant number, since it is smaller than the sum of its proper divisors (6214520).

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

4532560 is a wasteful number, since it uses less digits than its factorization.

4532560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 4532560 is about 2128.9809768995. The cubic root of 4532560 is about 165.4935938838.

The spelling of 4532560 in words is "four million, five hundred thirty-two thousand, five hundred sixty".