42480 has 60 divisors (see below), whose sum is σ = 145080. Its totient is φ = 11136.

The previous prime is 42473. The next prime is 42487. The reversal of 42480 is 8424.

It is a happy number.

42480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42473) and next prime (42487).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a zygodrome in base 4.

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 11 ways as a sum of consecutive naturals, for example, 691 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (2418).

2⁴²⁴⁸⁰ is an apocalyptic number.

42480 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 42480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72540).

42480 is an abundant number, since it is smaller than the sum of its proper divisors (102600).

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

42480 is a wasteful number, since it uses less digits than its factorization.

42480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42480 is about 206.1067684478. The cubic root of 42480 is about 34.8921852328.

Subtracting from 42480 its product of nonzero digits (256), we obtain a palindrome (42224).

The spelling of 42480 in words is "forty-two thousand, four hundred eighty".