42420504 has 64 divisors (see below), whose sum is σ = 125395200. Its totient is φ = 11700864.

The previous prime is 42420503. The next prime is 42420509. The reversal of 42420504 is 40502424.

It is a super-2 number, since 2×42420504² = 3598998319228032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42420503) 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, 519 + ... + 9225.

It is an arithmetic number, because the mean of its divisors is an integer number (1959300).

Almost surely, 2^42420504 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 42420504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62697600).

42420504 is an abundant number, since it is smaller than the sum of its proper divisors (82974696).

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

42420504 is a wasteful number, since it uses less digits than its factorization.

42420504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8752 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 42420504 is about 6513.1024865267. The cubic root of 42420504 is about 348.7588803124.

Adding to 42420504 its reverse (40502424), we get a palindrome (82922928).

It can be divided in two parts, 42420 and 504, that added together give a palindrome (42924).

The spelling of 42420504 in words is "forty-two million, four hundred twenty thousand, five hundred four".