419560630225 has 27 divisors (see below), whose sum is σ = 571899297361. Its totient is φ = 305109094400.

The previous prime is 419560630219. The next prime is 419560630267. The reversal of 419560630225 is 522036065914.

The square root of 419560630225 is 647735.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1722499009 + 417838131216 = 41503^2 + 646404^2 .

It is not a de Polignac number, because 419560630225 - 2³ = 419560630217 is a prime.

It is a super-2 number, since 2×419560630225² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35619537 + ... + 35631313.

Almost surely, 2^419560630225 is an apocalyptic number.

419560630225 is the 647735-th square number.

419560630225 is the 323868-th centered octagonal number.

It is an amenable number.

419560630225 is a deficient number, since it is larger than the sum of its proper divisors (152338667136).

419560630225 is an frugal number, since it uses more digits than its factorization.

419560630225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23586 (or 11793 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 419560630225 in words is "four hundred nineteen billion, five hundred sixty million, six hundred thirty thousand, two hundred twenty-five".