42406560 has 216 divisors, whose sum is σ = 168618996. Its totient is φ = 9676800.

The previous prime is 42406547. The next prime is 42406577. The reversal of 42406560 is 6560424.

It is a happy number.

42406560 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 656 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41835024 + 571536 = 6468^2 + 756^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70260 + ... + 70860.

Almost surely, 2^42406560 is an apocalyptic number.

42406560 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 42406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84309498).

42406560 is an abundant number, since it is smaller than the sum of its proper divisors (126212436).

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

42406560 is a wasteful number, since it uses less digits than its factorization.

42406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42406560 is about 6512.0319409536. The cubic root of 42406560 is about 348.7206627343.

Adding to 42406560 its reverse (6560424), we get a palindrome (48966984).

The spelling of 42406560 in words is "forty-two million, four hundred six thousand, five hundred sixty".