414523201 has 2 divisors, whose sum is σ = 414523202. Its totient is φ = 414523200.

The previous prime is 414523157. The next prime is 414523259. The reversal of 414523201 is 102325414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 414163201 + 360000 = 20351^2 + 600^2 .

It is a cyclic number.

It is not a de Polignac number, because 414523201 - 2¹⁹ = 413998913 is a prime.

It is not a weakly prime, because it can be changed into another prime (414523601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207261600 + 207261601.

It is an arithmetic number, because the mean of its divisors is an integer number (207261601).

Almost surely, 2^414523201 is an apocalyptic number.

It is an amenable number.

414523201 is a deficient number, since it is larger than the sum of its proper divisors (1).

414523201 is an equidigital number, since it uses as much as digits as its factorization.

414523201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 414523201 is about 20359.8428530281. The cubic root of 414523201 is about 745.6178236123.

Adding to 414523201 its reverse (102325414), we get a palindrome (516848615).

The spelling of 414523201 in words is "four hundred fourteen million, five hundred twenty-three thousand, two hundred one".