42504 has 64 divisors (see below), whose sum is σ = 138240. Its totient is φ = 10560.

The previous prime is 42499. The next prime is 42509. The reversal of 42504 is 40524.

Added to its reverse (40524) it gives a triangular number (83028 = T₄₀₇).

42504 is a nontrivial binomial coefficient, being equal to C(24, 5).

It is an interprime number because it is at equal distance from previous prime (42499) and next prime (42509).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42509) by changing a digit.

42504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1837 + ... + 1859.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2⁴²⁵⁰⁴ is an apocalyptic number.

42504 is a gapful number since it is divisible by the number (44) 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 42504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120).

42504 is an abundant number, since it is smaller than the sum of its proper divisors (95736).

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

42504 is a wasteful number, since it uses less digits than its factorization.

42504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 42504 is about 206.1649824776. The cubic root of 42504 is about 34.8987550288.

Adding to 42504 its reverse (40524), we get a triangular number (83028 = T₄₀₇).

The spelling of 42504 in words is "forty-two thousand, five hundred four".