42024960 has 240 divisors, whose sum is σ = 157281600. Its totient is φ = 10616832.

The previous prime is 42024953. The next prime is 42024991. The reversal of 42024960 is 6942024.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211831 + ... + 2211849.

It is an arithmetic number, because the mean of its divisors is an integer number (655340).

Almost surely, 2^42024960 is an apocalyptic number.

42024960 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 42024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78640800).

42024960 is an abundant number, since it is smaller than the sum of its proper divisors (115256640).

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

42024960 is an equidigital number, since it uses as much as digits as its factorization.

42024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42024960 is about 6482.6661181955. Note that the first 3 decimals coincide. The cubic root of 42024960 is about 347.6715092852.

Adding to 42024960 its reverse (6942024), we get a palindrome (48966984).

The spelling of 42024960 in words is "forty-two million, twenty-four thousand, nine hundred sixty".