42524160 has 240 divisors, whose sum is σ = 159538896. Its totient is φ = 9633792.

The previous prime is 42524159. The next prime is 42524173. The reversal of 42524160 is 6142524.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42524160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376264 + ... + 376376.

Almost surely, 2^42524160 is an apocalyptic number.

42524160 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 42524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79769448).

42524160 is an abundant number, since it is smaller than the sum of its proper divisors (117014736).

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

42524160 is a wasteful number, since it uses less digits than its factorization.

42524160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42524160 is about 6521.0551293483. The cubic root of 42524160 is about 349.0427174637.

Adding to 42524160 its reverse (6142524), we get a palindrome (48666684).

The spelling of 42524160 in words is "forty-two million, five hundred twenty-four thousand, one hundred sixty".