42508880 has 40 divisors (see below), whose sum is σ = 99830664. Its totient is φ = 16832000.

The previous prime is 42508861. The next prime is 42508883. The reversal of 42508880 is 8880524.

It can be written as a sum of positive squares in 4 ways, for example, as 19430464 + 23078416 = 4408^2 + 4804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 42508880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42508883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5450 + ... + 10710.

Almost surely, 2^42508880 is an apocalyptic number.

42508880 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 42508880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49915332).

42508880 is an abundant number, since it is smaller than the sum of its proper divisors (57321784).

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

42508880 is a wasteful number, since it uses less digits than its factorization.

42508880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5375 (or 5369 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 42508880 is about 6519.8834345408. The cubic root of 42508880 is about 349.0009058468. Note that the first 3 decimals are identical.

The spelling of 42508880 in words is "forty-two million, five hundred eight thousand, eight hundred eighty".