42498560 has 80 divisors (see below), whose sum is σ = 109821096. Its totient is φ = 15679488.

The previous prime is 42498553. The next prime is 42498563. The reversal of 42498560 is 6589424.

It can be written as a sum of positive squares in 4 ways, for example, as 29767936 + 12730624 = 5456^2 + 3568^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×42498560² = 3612255204147200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42498563) 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, 32642 + ... + 33918.

Almost surely, 2^42498560 is an apocalyptic number.

42498560 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 42498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54910548).

42498560 is an abundant number, since it is smaller than the sum of its proper divisors (67322536).

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

42498560 is a wasteful number, since it uses less digits than its factorization.

42498560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 42498560 is about 6519.0919613087. The cubic root of 42498560 is about 348.9726609181.

The spelling of 42498560 in words is "forty-two million, four hundred ninety-eight thousand, five hundred sixty".