414412011 has 16 divisors (see below), whose sum is σ = 661170720. Its totient is φ = 255022560.

The previous prime is 414412007. The next prime is 414412013. The reversal of 414412011 is 110214414.

It is not a de Polignac number, because 414412011 - 2² = 414412007 is a prime.

It is a super-2 number, since 2×414412011² = 343474629722128242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414412013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589980 + ... + 590681.

It is an arithmetic number, because the mean of its divisors is an integer number (41323170).

Almost surely, 2^414412011 is an apocalyptic number.

414412011 is a deficient number, since it is larger than the sum of its proper divisors (246758709).

414412011 is a wasteful number, since it uses less digits than its factorization.

414412011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180683 (or 1180677 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 414412011 is about 20357.1120496007. The cubic root of 414412011 is about 745.5511504969.

Adding to 414412011 its reverse (110214414), we get a palindrome (524626425).

The spelling of 414412011 in words is "four hundred fourteen million, four hundred twelve thousand, eleven".