42415960 has 32 divisors (see below), whose sum is σ = 96390000. Its totient is φ = 16796800.

The previous prime is 42415939. The next prime is 42415963. The reversal of 42415960 is 6951424.

42415960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42415960³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42415963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1210 + ... + 9289.

Almost surely, 2^42415960 is an apocalyptic number.

42415960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42415960 is an abundant number, since it is smaller than the sum of its proper divisors (53974040).

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

42415960 is a wasteful number, since it uses less digits than its factorization.

42415960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10611 (or 10607 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 42415960 is about 6512.7536418937. The cubic root of 42415960 is about 348.7464270819.

It can be divided in two parts, 4241 and 5960, that added together give a palindrome (10201).

The spelling of 42415960 in words is "forty-two million, four hundred fifteen thousand, nine hundred sixty".