415106431 has 2 divisors, whose sum is σ = 415106432. Its totient is φ = 415106430.

The previous prime is 415106429. The next prime is 415106437. The reversal of 415106431 is 134601514.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 415106431 - 2¹ = 415106429 is a prime.

It is a super-2 number, since 2×415106431² = 344626698115115522, which contains 22 as substring.

Together with 415106429, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 415106396 and 415106405.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415106437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207553215 + 207553216.

It is an arithmetic number, because the mean of its divisors is an integer number (207553216).

Almost surely, 2^415106431 is an apocalyptic number.

415106431 is a deficient number, since it is larger than the sum of its proper divisors (1).

415106431 is an equidigital number, since it uses as much as digits as its factorization.

415106431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 415106431 is about 20374.1608661559. The cubic root of 415106431 is about 745.9673520106.

Adding to 415106431 its reverse (134601514), we get a palindrome (549707945).

The spelling of 415106431 in words is "four hundred fifteen million, one hundred six thousand, four hundred thirty-one".