42909760 has 28 divisors (see below), whose sum is σ = 102179628. Its totient is φ = 17163776.

The previous prime is 42909707. The next prime is 42909767. The reversal of 42909760 is 6790924.

It can be written as a sum of positive squares in 2 ways, for example, as 26132544 + 16777216 = 5112^2 + 4096^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (42909767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66727 + ... + 67366.

Almost surely, 2^42909760 is an apocalyptic number.

42909760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42909760 is an abundant number, since it is smaller than the sum of its proper divisors (59269868).

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

42909760 is a wasteful number, since it uses less digits than its factorization.

42909760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134110 (or 134100 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 42909760 is about 6550.5541750298. The cubic root of 42909760 is about 350.0945594846.

The spelling of 42909760 in words is "forty-two million, nine hundred nine thousand, seven hundred sixty".