415476930625 has 135 divisors (see below), whose sum is σ = 582675916053. Its totient is φ = 296091972000.

The previous prime is 415476930611. The next prime is 415476930637. The reversal of 415476930625 is 526039674514.

The square root of 415476930625 is 644575.

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

It can be written as a sum of positive squares in 2 ways, for example, as 32573391361 + 382903539264 = 180481^2 + 618792^2 .

It is not a de Polignac number, because 415476930625 - 2²⁹ = 414940059713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 in 134 ways as a sum of consecutive naturals, for example, 7041981846 + ... + 7041981904.

Almost surely, 2^415476930625 is an apocalyptic number.

415476930625 is the 644575-th square number.

415476930625 is the 322288-th centered octagonal number.

It is an amenable number.

415476930625 is a deficient number, since it is larger than the sum of its proper divisors (167198985428).

415476930625 is an frugal number, since it uses more digits than its factorization.

415476930625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 415476930625 in words is "four hundred fifteen billion, four hundred seventy-six million, nine hundred thirty thousand, six hundred twenty-five".