414042225 has 48 divisors (see below), whose sum is σ = 730810368. Its totient is φ = 206115840.

The previous prime is 414042221. The next prime is 414042229. The reversal of 414042225 is 522240414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414042221) and next prime (414042229).

It is not a de Polignac number, because 414042225 - 2² = 414042221 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 414042195 and 414042204.

It is not an unprimeable number, because it can be changed into a prime (414042221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160647 + ... + 163203.

It is an arithmetic number, because the mean of its divisors is an integer number (15225216).

Almost surely, 2^414042225 is an apocalyptic number.

It is an amenable number.

414042225 is a deficient number, since it is larger than the sum of its proper divisors (316768143).

414042225 is a wasteful number, since it uses less digits than its factorization.

414042225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 414042225 is about 20348.0275456861. The cubic root of 414042225 is about 745.3293290461.

Adding to 414042225 its reverse (522240414), we get a palindrome (936282639).

The spelling of 414042225 in words is "four hundred fourteen million, forty-two thousand, two hundred twenty-five".