42360 has 32 divisors (see below), whose sum is σ = 127440. Its totient is φ = 11264.

The previous prime is 42359. The next prime is 42373. The reversal of 42360 is 6324.

42360 = T₈₇ + T₈₈ + ... + T₉₆.

42360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42360.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 296.

2⁴²³⁶⁰ is an apocalyptic number.

42360 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 42360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63720).

42360 is an abundant number, since it is smaller than the sum of its proper divisors (85080).

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

42360 is a wasteful number, since it uses less digits than its factorization.

42360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 42360 is about 205.8154513150. The cubic root of 42360 is about 34.8592990821.

Adding to 42360 its reverse (6324), we get a palindrome (48684).

The spelling of 42360 in words is "forty-two thousand, three hundred sixty".