413724431 has 2 divisors, whose sum is σ = 413724432. Its totient is φ = 413724430.

The previous prime is 413724403. The next prime is 413724517. The reversal of 413724431 is 134427314.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 413724431 - 2¹⁴ = 413708047 is a prime.

It is a super-3 number, since 3×413724431³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 413724394 and 413724403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413724931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206862215 + 206862216.

It is an arithmetic number, because the mean of its divisors is an integer number (206862216).

Almost surely, 2^413724431 is an apocalyptic number.

413724431 is a deficient number, since it is larger than the sum of its proper divisors (1).

413724431 is an equidigital number, since it uses as much as digits as its factorization.

413724431 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8064, while the sum is 29.

The square root of 413724431 is about 20340.2170834040. The cubic root of 413724431 is about 745.1385901951.

The spelling of 413724431 in words is "four hundred thirteen million, seven hundred twenty-four thousand, four hundred thirty-one".