414504663461 has 32 divisors (see below), whose sum is σ = 501167923200. Its totient is φ = 334893890880.

The previous prime is 414504663449. The next prime is 414504663479. The reversal of 414504663461 is 164366405414.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 414504663461 - 2¹⁴ = 414504647077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414504663361) 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 31 ways as a sum of consecutive naturals, for example, 82716446 + ... + 82721456.

It is an arithmetic number, because the mean of its divisors is an integer number (15661497600).

Almost surely, 2^414504663461 is an apocalyptic number.

It is an amenable number.

414504663461 is a deficient number, since it is larger than the sum of its proper divisors (86663259739).

414504663461 is a wasteful number, since it uses less digits than its factorization.

414504663461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8049.

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 414504663461 in words is "four hundred fourteen billion, five hundred four million, six hundred sixty-three thousand, four hundred sixty-one".