414312101 has 24 divisors (see below), whose sum is σ = 492907200. Its totient is φ = 348099528.

The previous prime is 414312091. The next prime is 414312113. The reversal of 414312101 is 101213414.

It is a happy number.

It is not a de Polignac number, because 414312101 - 2⁶ = 414312037 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414312101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414312131) 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, 1193810 + ... + 1194156.

It is an arithmetic number, because the mean of its divisors is an integer number (20537800).

Almost surely, 2^414312101 is an apocalyptic number.

It is an amenable number.

414312101 is a deficient number, since it is larger than the sum of its proper divisors (78595099).

414312101 is an frugal number, since it uses more digits than its factorization.

414312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 414312101 is about 20354.6579681409. The cubic root of 414312101 is about 745.4912310606.

Adding to 414312101 its reverse (101213414), we get a palindrome (515525515).

The spelling of 414312101 in words is "four hundred fourteen million, three hundred twelve thousand, one hundred one".