42484 has 24 divisors (see below), whose sum is σ = 86240. Its totient is φ = 18144.

The previous prime is 42473. The next prime is 42487. The reversal of 42484 is 48424.

42484 = T₂₇ + T₂₈ + ... + T₆₄.

42484 = 30² + 31² + ... + 53².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42487) 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, 967 + ... + 1009.

2⁴²⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

42484 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (43120).

42484 is a wasteful number, since it uses less digits than its factorization.

42484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 77 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 42484 is about 206.1164719279. The cubic root of 42484 is about 34.8932803706.

The spelling of 42484 in words is "forty-two thousand, four hundred eighty-four".