414020241 has 56 divisors (see below), whose sum is σ = 664194240. Its totient is φ = 257191200.

The previous prime is 414020231. The next prime is 414020249. The reversal of 414020241 is 142020414.

It is not a de Polignac number, because 414020241 - 2⁵ = 414020209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414020249) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 983211 + ... + 983631.

Almost surely, 2^414020241 is an apocalyptic number.

It is an amenable number.

414020241 is a deficient number, since it is larger than the sum of its proper divisors (250173999).

414020241 is an equidigital number, since it uses as much as digits as its factorization.

414020241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 414020241 is about 20347.4873387355. The cubic root of 414020241 is about 745.3161374689.

Adding to 414020241 its reverse (142020414), we get a palindrome (556040655).

The spelling of 414020241 in words is "four hundred fourteen million, twenty thousand, two hundred forty-one".