42252760 has 64 divisors (see below), whose sum is σ = 104781600. Its totient is φ = 15206400.

The previous prime is 42252737. The next prime is 42252761. The reversal of 42252760 is 6725224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42252761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47520 + ... + 48400.

Almost surely, 2^42252760 is an apocalyptic number.

42252760 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 42252760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52390800).

42252760 is an abundant number, since it is smaller than the sum of its proper divisors (62528840).

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

42252760 is a wasteful number, since it uses less digits than its factorization.

42252760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 42252760 is about 6500.2123042251. The cubic root of 42252760 is about 348.2985723168.

Adding to 42252760 its reverse (6725224), we get a palindrome (48977984).

The spelling of 42252760 in words is "forty-two million, two hundred fifty-two thousand, seven hundred sixty".