42405201 has 14 divisors (see below), whose sum is σ = 63579810. Its totient is φ = 28269648.

The previous prime is 42405197. The next prime is 42405269. The reversal of 42405201 is 10250424.

It can be written as a sum of positive squares in only one way, i.e., 32764176 + 9641025 = 5724^2 + 3105^2 .

It is not a de Polignac number, because 42405201 - 2² = 42405197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42405271) 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 13 ways as a sum of consecutive naturals, for example, 28356 + ... + 29813.

It is an arithmetic number, because the mean of its divisors is an integer number (4541415).

Almost surely, 2^42405201 is an apocalyptic number.

It is an amenable number.

42405201 is a deficient number, since it is larger than the sum of its proper divisors (21174609).

42405201 is an frugal number, since it uses more digits than its factorization.

42405201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58187 (or 58172 counting only the distinct ones).

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

The square root of 42405201 is about 6511.9275948063. The cubic root of 42405201 is about 348.7169375525.

Adding to 42405201 its reverse (10250424), we get a palindrome (52655625).

The spelling of 42405201 in words is "forty-two million, four hundred five thousand, two hundred one".