414820253 has 2 divisors, whose sum is σ = 414820254. Its totient is φ = 414820252.

The previous prime is 414820229. The next prime is 414820267. The reversal of 414820253 is 352028414.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 355020964 + 59799289 = 18842^2 + 7733^2 .

It is a cyclic number.

It is not a de Polignac number, because 414820253 - 2⁸ = 414819997 is a prime.

It is a super-3 number, since 3×414820253³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414820223) 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, 207410126 + 207410127.

It is an arithmetic number, because the mean of its divisors is an integer number (207410127).

Almost surely, 2^414820253 is an apocalyptic number.

It is an amenable number.

414820253 is a deficient number, since it is larger than the sum of its proper divisors (1).

414820253 is an equidigital number, since it uses as much as digits as its factorization.

414820253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 414820253 is about 20367.1365930511. The cubic root of 414820253 is about 745.7958871316.

Adding to 414820253 its reverse (352028414), we get a palindrome (766848667).

The spelling of 414820253 in words is "four hundred fourteen million, eight hundred twenty thousand, two hundred fifty-three".