4614560 has 48 divisors (see below), whose sum is σ = 11031552. Its totient is φ = 1824000.

The previous prime is 4614557. The next prime is 4614563. The reversal of 4614560 is 654164.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4614557) and next prime (4614563).

It is not an unprimeable number, because it can be changed into a prime (4614563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24065 + ... + 24255.

It is an arithmetic number, because the mean of its divisors is an integer number (229824).

Almost surely, 2^4614560 is an apocalyptic number.

4614560 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 4614560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515776).

4614560 is an abundant number, since it is smaller than the sum of its proper divisors (6416992).

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

4614560 is a wasteful number, since it uses less digits than its factorization.

4614560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4614560 is about 2148.1526947589. The cubic root of 4614560 is about 166.4856345465.

The spelling of 4614560 in words is "four million, six hundred fourteen thousand, five hundred sixty".