414052101 has 8 divisors (see below), whose sum is σ = 613410560. Its totient is φ = 276034716.

The previous prime is 414052097. The next prime is 414052109. The reversal of 414052101 is 101250414.

414052101 is a `hidden beast` number, since 4 + 140 + 521 + 0 + 1 = 666.

It is not a de Polignac number, because 414052101 - 2² = 414052097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414052109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7667605 + ... + 7667658.

It is an arithmetic number, because the mean of its divisors is an integer number (76676320).

Almost surely, 2^414052101 is an apocalyptic number.

It is an amenable number.

414052101 is a deficient number, since it is larger than the sum of its proper divisors (199358459).

414052101 is a wasteful number, since it uses less digits than its factorization.

414052101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15335272 (or 15335266 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 414052101 is about 20348.2702213235. The cubic root of 414052101 is about 745.3352550230.

The spelling of 414052101 in words is "four hundred fourteen million, fifty-two thousand, one hundred one".