393461380225 has 9 divisors (see below), whose sum is σ = 487896000553. Its totient is φ = 314766595120.

The previous prime is 393461380219. The next prime is 393461380313. The reversal of 393461380225 is 522083164393.

The square root of 393461380225 is 627265.

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 30315336769 + 363146043456 = 174113^2 + 602616^2 .

It is not a de Polignac number, because 393461380225 - 2⁹ = 393461379713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3073599 + ... + 3199051.

Almost surely, 2^393461380225 is an apocalyptic number.

393461380225 is the 627265-th square number.

393461380225 is the 313633-rd centered octagonal number.

It is an amenable number.

393461380225 is a deficient number, since it is larger than the sum of its proper divisors (94434620328).

393461380225 is an frugal number, since it uses more digits than its factorization.

393461380225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250916 (or 125458 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 393461380225 in words is "three hundred ninety-three billion, four hundred sixty-one million, three hundred eighty thousand, two hundred twenty-five".