414140521 has 2 divisors, whose sum is σ = 414140522. Its totient is φ = 414140520.

The previous prime is 414140509. The next prime is 414140527. The reversal of 414140521 is 125041414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218448400 + 195692121 = 14780^2 + 13989^2 .

It is a cyclic number.

It is not a de Polignac number, because 414140521 - 2⁷ = 414140393 is a prime.

It is a super-2 number, since 2×414140521² = 343024742268302882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414140492 and 414140501.

It is not a weakly prime, because it can be changed into another prime (414140527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207070260 + 207070261.

It is an arithmetic number, because the mean of its divisors is an integer number (207070261).

Almost surely, 2^414140521 is an apocalyptic number.

It is an amenable number.

414140521 is a deficient number, since it is larger than the sum of its proper divisors (1).

414140521 is an equidigital number, since it uses as much as digits as its factorization.

414140521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 414140521 is about 20350.4427715959. The cubic root of 414140521 is about 745.3883061990.

Adding to 414140521 its reverse (125041414), we get a palindrome (539181935).

The spelling of 414140521 in words is "four hundred fourteen million, one hundred forty thousand, five hundred twenty-one".