412864077025 has 9 divisors (see below), whose sum is σ = 511955439321. Its totient is φ = 330288691440.

The previous prime is 412864077011. The next prime is 412864077089. The reversal of 412864077025 is 520770468214.

The square root of 412864077025 is 642545.

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 7584145569 + 405279931456 = 87087^2 + 636616^2 .

It is not a de Polignac number, because 412864077025 - 2¹⁷ = 412863945953 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 8 ways as a sum of consecutive naturals, for example, 3148471 + ... + 3276979.

Almost surely, 2^412864077025 is an apocalyptic number.

412864077025 is the 642545-th square number.

412864077025 is the 321273-rd centered octagonal number.

It is an amenable number.

412864077025 is a deficient number, since it is larger than the sum of its proper divisors (99091362296).

412864077025 is an frugal number, since it uses more digits than its factorization.

412864077025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257028 (or 128514 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 412864077025 in words is "four hundred twelve billion, eight hundred sixty-four million, seventy-seven thousand, twenty-five".