414340153 has 2 divisors, whose sum is σ = 414340154. Its totient is φ = 414340152.

The previous prime is 414340117. The next prime is 414340177. The reversal of 414340153 is 351043414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 225360144 + 188980009 = 15012^2 + 13747^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414340153 is a prime.

It is not a weakly prime, because it can be changed into another prime (414340103) 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, 207170076 + 207170077.

It is an arithmetic number, because the mean of its divisors is an integer number (207170077).

Almost surely, 2^414340153 is an apocalyptic number.

It is an amenable number.

414340153 is a deficient number, since it is larger than the sum of its proper divisors (1).

414340153 is an equidigital number, since it uses as much as digits as its factorization.

414340153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 414340153 is about 20355.3470370809. The cubic root of 414340153 is about 745.5080557748.

Adding to 414340153 its reverse (351043414), we get a palindrome (765383567).

The spelling of 414340153 in words is "four hundred fourteen million, three hundred forty thousand, one hundred fifty-three".