42253520 has 80 divisors (see below), whose sum is σ = 102529152. Its totient is φ = 16181760.

The previous prime is 42253501. The next prime is 42253529. The reversal of 42253520 is 2535224.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42253529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244154 + ... + 244326.

Almost surely, 2^42253520 is an apocalyptic number.

42253520 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 42253520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51264576).

42253520 is an abundant number, since it is smaller than the sum of its proper divisors (60275632).

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

42253520 is a wasteful number, since it uses less digits than its factorization.

42253520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 42253520 is about 6500.2707635913. The cubic root of 42253520 is about 348.3006605853.

Adding to 42253520 its reverse (2535224), we get a palindrome (44788744).

The spelling of 42253520 in words is "forty-two million, two hundred fifty-three thousand, five hundred twenty".