42488160 has 192 divisors, whose sum is σ = 157489920. Its totient is φ = 9492480.

The previous prime is 42488143. The next prime is 42488167. The reversal of 42488160 is 6188424.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42488167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68331 + ... + 68949.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 2^42488160 is an apocalyptic number.

42488160 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 42488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

42488160 is an abundant number, since it is smaller than the sum of its proper divisors (115001760).

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

42488160 is a wasteful number, since it uses less digits than its factorization.

42488160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 42488160 is about 6518.2942554015. The cubic root of 42488160 is about 348.9441924103.

The spelling of 42488160 in words is "forty-two million, four hundred eighty-eight thousand, one hundred sixty".