42800160 has 192 divisors, whose sum is σ = 153256320. Its totient is φ = 9980928.

The previous prime is 42800159. The next prime is 42800207. The reversal of 42800160 is 6100824.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 494 × 190 × 456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2252631 + ... + 2252649.

It is an arithmetic number, because the mean of its divisors is an integer number (798210).

Almost surely, 2^42800160 is an apocalyptic number.

42800160 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 42800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76628160).

42800160 is an abundant number, since it is smaller than the sum of its proper divisors (110456160).

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

42800160 is a wasteful number, since it uses less digits than its factorization.

42800160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 42800160 is about 6542.1831218638. The cubic root of 42800160 is about 349.7962351356.

Adding to 42800160 its reverse (6100824), we get a palindrome (48900984).

The spelling of 42800160 in words is "forty-two million, eight hundred thousand, one hundred sixty".