42504200 has 36 divisors (see below), whose sum is σ = 99037095. Its totient is φ = 16964800.

The previous prime is 42504181. The next prime is 42504239. The reversal of 42504200 is 240524.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 8375236 + 34128964 = 2894^2 + 5842^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4610.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 91970 + ... + 92430.

Almost surely, 2^42504200 is an apocalyptic number.

42504200 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 42504200

42504200 is an abundant number, since it is smaller than the sum of its proper divisors (56532895).

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

42504200 is an equidigital number, since it uses as much as digits as its factorization.

42504200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 42504200 is about 6519.5245225400. The cubic root of 42504200 is about 348.9880976666.

Adding to 42504200 its reverse (240524), we get a palindrome (42744724).

The spelling of 42504200 in words is "forty-two million, five hundred four thousand, two hundred".