42217504 has 96 divisors (see below), whose sum is σ = 100759680. Its totient is φ = 17031168.

The previous prime is 42217493. The next prime is 42217507. The reversal of 42217504 is 40571224.

It is not an unprimeable number, because it can be changed into a prime (42217507) 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, 435184 + ... + 435280.

It is an arithmetic number, because the mean of its divisors is an integer number (1049580).

Almost surely, 2^42217504 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 42217504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50379840).

42217504 is an abundant number, since it is smaller than the sum of its proper divisors (58542176).

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

42217504 is a wasteful number, since it uses less digits than its factorization.

42217504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 42217504 is about 6497.4998268565. The cubic root of 42217504 is about 348.2016711010.

Adding to 42217504 its reverse (40571224), we get a palindrome (82788728).

It can be divided in two parts, 4221 and 7504, that multiplied together give a square (31674384 = 5628²).

The spelling of 42217504 in words is "forty-two million, two hundred seventeen thousand, five hundred four".