414262121 has 24 divisors (see below), whose sum is σ = 521978184. Its totient is φ = 325866240.

The previous prime is 414262109. The next prime is 414262153. The reversal of 414262121 is 121262414.

It can be written as a sum of positive squares in 4 ways, for example, as 22657600 + 391604521 = 4760^2 + 19789^2 .

It is a de Polignac number, because none of the positive numbers 2^k-414262121 is a prime.

It is a super-2 number, since 2×414262121² = 343226209790837282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414262621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113501 + ... + 117093.

It is an arithmetic number, because the mean of its divisors is an integer number (21749091).

Almost surely, 2^414262121 is an apocalyptic number.

It is an amenable number.

414262121 is a deficient number, since it is larger than the sum of its proper divisors (107716063).

414262121 is a wasteful number, since it uses less digits than its factorization.

414262121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3794 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 414262121 is about 20353.4302023025. The cubic root of 414262121 is about 745.4612527343.

The spelling of 414262121 in words is "four hundred fourteen million, two hundred sixty-two thousand, one hundred twenty-one".