42504012 has 72 divisors (see below), whose sum is σ = 114660000. Its totient is φ = 13229568.

The previous prime is 42504001. The next prime is 42504017. The reversal of 42504012 is 21040524.

It is a super-2 number, since 2×42504012² = 3613182072192288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42504017) 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 23 ways as a sum of consecutive naturals, for example, 121614 + ... + 121962.

It is an arithmetic number, because the mean of its divisors is an integer number (1592500).

Almost surely, 2^42504012 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 42504012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57330000).

42504012 is an abundant number, since it is smaller than the sum of its proper divisors (72155988).

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

42504012 is a wasteful number, since it uses less digits than its factorization.

42504012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42504012 is about 6519.5101042946. The cubic root of 42504012 is about 348.9875831303.

Adding to 42504012 its reverse (21040524), we get a palindrome (63544536).

The spelling of 42504012 in words is "forty-two million, five hundred four thousand, twelve".