414468541 has 2 divisors, whose sum is σ = 414468542. Its totient is φ = 414468540.

The previous prime is 414468503. The next prime is 414468547. The reversal of 414468541 is 145864414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 384983641 + 29484900 = 19621^2 + 5430^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414468541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414468541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414468547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207234270 + 207234271.

It is an arithmetic number, because the mean of its divisors is an integer number (207234271).

Almost surely, 2^414468541 is an apocalyptic number.

It is an amenable number.

414468541 is a deficient number, since it is larger than the sum of its proper divisors (1).

414468541 is an equidigital number, since it uses as much as digits as its factorization.

414468541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 61440, while the sum is 37.

The square root of 414468541 is about 20358.5004604956. The cubic root of 414468541 is about 745.5850492009.

The spelling of 414468541 in words is "four hundred fourteen million, four hundred sixty-eight thousand, five hundred forty-one".