414042025 has 24 divisors (see below), whose sum is σ = 530415704. Its totient is φ = 320371200.

The previous prime is 414042011. The next prime is 414042029. The reversal of 414042025 is 520240414.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 101848464 + 312193561 = 10092^2 + 17669^2 .

It is not a de Polignac number, because 414042025 - 2⁵ = 414041993 is a prime.

It is a super-2 number, since 2×414042025² = 342861596932201250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414041987 and 414042005.

It is not an unprimeable number, because it can be changed into a prime (414042029) 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, 166189 + ... + 168661.

Almost surely, 2^414042025 is an apocalyptic number.

It is an amenable number.

414042025 is a deficient number, since it is larger than the sum of its proper divisors (116373679).

414042025 is a wasteful number, since it uses less digits than its factorization.

414042025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 414042025 is about 20348.0226312042. The cubic root of 414042025 is about 745.3292090375.

Adding to 414042025 its reverse (520240414), we get a palindrome (934282439).

The spelling of 414042025 in words is "four hundred fourteen million, forty-two thousand, twenty-five".