42511220 has 48 divisors (see below), whose sum is σ = 95573520. Its totient is φ = 15826944.

The previous prime is 42511177. The next prime is 42511229. The reversal of 42511220 is 2211524.

It can be written as a sum of positive squares in 8 ways, for example, as 2010724 + 40500496 = 1418^2 + 6364^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42511229) 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, 32336 + ... + 33624.

It is an arithmetic number, because the mean of its divisors is an integer number (1991115).

Almost surely, 2^42511220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42511220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47786760).

42511220 is an abundant number, since it is smaller than the sum of its proper divisors (53062300).

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

42511220 is a wasteful number, since it uses less digits than its factorization.

42511220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 42511220 is about 6520.0628831323. The cubic root of 42511220 is about 349.0073095844.

Adding to 42511220 its reverse (2211524), we get a palindrome (44722744).

The spelling of 42511220 in words is "forty-two million, five hundred eleven thousand, two hundred twenty".