416630653 has 2 divisors, whose sum is σ = 416630654. Its totient is φ = 416630652.

The previous prime is 416630647. The next prime is 416630657. The reversal of 416630653 is 356036614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 291794724 + 124835929 = 17082^2 + 11173^2 .

It is a cyclic number.

It is not a de Polignac number, because 416630653 - 2⁹ = 416630141 is a prime.

It is a super-2 number, since 2×416630653² = 347162202038412818, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416630657) 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, 208315326 + 208315327.

It is an arithmetic number, because the mean of its divisors is an integer number (208315327).

Almost surely, 2^416630653 is an apocalyptic number.

It is an amenable number.

416630653 is a deficient number, since it is larger than the sum of its proper divisors (1).

416630653 is an equidigital number, since it uses as much as digits as its factorization.

416630653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 416630653 is about 20411.5323530596. The cubic root of 416630653 is about 746.8792715640.

The spelling of 416630653 in words is "four hundred sixteen million, six hundred thirty thousand, six hundred fifty-three".