414120413 has 24 divisors (see below), whose sum is σ = 499878144. Its totient is φ = 341712000.

The previous prime is 414120407. The next prime is 414120419. The reversal of 414120413 is 314021414.

It is an interprime number because it is at equal distance from previous prime (414120407) and next prime (414120419).

It is not a de Polignac number, because 414120413 - 2⁶ = 414120349 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 (414120419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344213 + ... + 345413.

It is an arithmetic number, because the mean of its divisors is an integer number (20828256).

Almost surely, 2^414120413 is an apocalyptic number.

It is an amenable number.

414120413 is a deficient number, since it is larger than the sum of its proper divisors (85757731).

414120413 is a wasteful number, since it uses less digits than its factorization.

414120413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1466 counting only the distinct ones).

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

The square root of 414120413 is about 20349.9487222941. The cubic root of 414120413 is about 745.3762422498.

Adding to 414120413 its reverse (314021414), we get a palindrome (728141827).

The spelling of 414120413 in words is "four hundred fourteen million, one hundred twenty thousand, four hundred thirteen".