413972641 has 2 divisors, whose sum is σ = 413972642. Its totient is φ = 413972640.

The previous prime is 413972599. The next prime is 413972693. The reversal of 413972641 is 146279314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 412293025 + 1679616 = 20305^2 + 1296^2 .

It is a cyclic number.

It is not a de Polignac number, because 413972641 - 2¹³ = 413964449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413972641.

It is not a weakly prime, because it can be changed into another prime (413972341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206986320 + 206986321.

It is an arithmetic number, because the mean of its divisors is an integer number (206986321).

Almost surely, 2^413972641 is an apocalyptic number.

It is an amenable number.

413972641 is a deficient number, since it is larger than the sum of its proper divisors (1).

413972641 is an equidigital number, since it uses as much as digits as its factorization.

413972641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 37.

The square root of 413972641 is about 20346.3176275217. The cubic root of 413972641 is about 745.2875733197.

The spelling of 413972641 in words is "four hundred thirteen million, nine hundred seventy-two thousand, six hundred forty-one".