414103241 has 12 divisors (see below), whose sum is σ = 423687732. Its totient is φ = 404726784.

The previous prime is 414103181. The next prime is 414103253. The reversal of 414103241 is 142301414.

It can be written as a sum of positive squares in 2 ways, for example, as 139240000 + 274863241 = 11800^2 + 16579^2 .

It is not a de Polignac number, because 414103241 - 2²² = 409908937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414103541) 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, 1172921 + ... + 1173273.

It is an arithmetic number, because the mean of its divisors is an integer number (35307311).

Almost surely, 2^414103241 is an apocalyptic number.

It is an amenable number.

414103241 is a deficient number, since it is larger than the sum of its proper divisors (9584491).

414103241 is an equidigital number, since it uses as much as digits as its factorization.

414103241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 414103241 is about 20349.5268003951. The cubic root of 414103241 is about 745.3659394672.

Adding to 414103241 its reverse (142301414), we get a palindrome (556404655).

The spelling of 414103241 in words is "four hundred fourteen million, one hundred three thousand, two hundred forty-one".