42504120 has 96 divisors (see below), whose sum is σ = 141916320. Its totient is φ = 11024640.

The previous prime is 42504109. The next prime is 42504127. The reversal of 42504120 is 2140524.

42504120 is a `hidden beast` number, since 4 + 250 + 412 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42504093 and 42504102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42504127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11725 + ... + 14915.

It is an arithmetic number, because the mean of its divisors is an integer number (1478295).

Almost surely, 2^42504120 is an apocalyptic number.

42504120 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 42504120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70958160).

42504120 is an abundant number, since it is smaller than the sum of its proper divisors (99412200).

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

42504120 is a wasteful number, since it uses less digits than its factorization.

42504120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3238 counting only the distinct ones).

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

The square root of 42504120 is about 6519.5183871203. The cubic root of 42504120 is about 348.9878787152.

Adding to 42504120 its reverse (2140524), we get a palindrome (44644644).

It can be divided in two parts, 42504 and 120, that added together give a palindrome (42624).

The spelling of 42504120 in words is "forty-two million, five hundred four thousand, one hundred twenty".