4460 has 12 divisors (see below), whose sum is σ = 9408. Its totient is φ = 1776.

The previous prime is 4457. The next prime is 4463. The reversal of 4460 is 644.

4460 = T₆ + T₇ + ... + T₂₉.

4460 = 20² + 21² + ... + 27².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4457) and next prime (4463).

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (4463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 92 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (784).

2⁴⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

4460 is an abundant number, since it is smaller than the sum of its proper divisors (4948).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704).

4460 is a wasteful number, since it uses less digits than its factorization.

4460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4460 is about 66.7832314283. The cubic root of 4460 is about 16.4605731432.

It can be divided in two parts, 4 and 460, that added together give a palindrome (464).

The spelling of 4460 in words is "four thousand, four hundred sixty".