44460 has 72 divisors (see below), whose sum is σ = 152880. Its totient is φ = 10368.

The previous prime is 44453. The next prime is 44483. The reversal of 44460 is 6444.

44460 = T₄₅ + T₄₆ + ... + T₇₀.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2331 + ... + 2349.

2⁴⁴⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76440).

44460 is an abundant number, since it is smaller than the sum of its proper divisors (108420).

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

44460 is a wasteful number, since it uses less digits than its factorization.

44460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 44460 is about 210.8554006897. The cubic root of 44460 is about 35.4260843852.

Adding to 44460 its product of nonzero digits (384), we get a palindrome (44844).

The spelling of 44460 in words is "forty-four thousand, four hundred sixty".