4652560 has 80 divisors (see below), whose sum is σ = 12534912. Its totient is φ = 1587200.

The previous prime is 4652551. The next prime is 4652567. The reversal of 4652560 is 652564.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4652567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14805 + ... + 15115.

Almost surely, 2^4652560 is an apocalyptic number.

4652560 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 4652560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267456).

4652560 is an abundant number, since it is smaller than the sum of its proper divisors (7882352).

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

4652560 is a wasteful number, since it uses less digits than its factorization.

4652560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 4652560 is about 2156.9793693960. The cubic root of 4652560 is about 166.9413780642.

It can be divided in two parts, 465 and 2560, that added together give a square (3025 = 55²).

The spelling of 4652560 in words is "four million, six hundred fifty-two thousand, five hundred sixty".