414411561 has 12 divisors (see below), whose sum is σ = 599601600. Its totient is φ = 275809560.

The previous prime is 414411551. The next prime is 414411587. The reversal of 414411561 is 165114414.

It is not a de Polignac number, because 414411561 - 2¹³ = 414403369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414411521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33045 + ... + 43826.

It is an arithmetic number, because the mean of its divisors is an integer number (49966800).

Almost surely, 2^414411561 is an apocalyptic number.

It is an amenable number.

414411561 is a deficient number, since it is larger than the sum of its proper divisors (185190039).

414411561 is a wasteful number, since it uses less digits than its factorization.

414411561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77476 (or 77473 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 414411561 is about 20357.1009969494. The cubic root of 414411561 is about 745.5508806381.

Adding to 414411561 its reverse (165114414), we get a palindrome (579525975).

The spelling of 414411561 in words is "four hundred fourteen million, four hundred eleven thousand, five hundred sixty-one".