463348405809 has 63 divisors (see below), whose sum is σ = 738471580923. Its totient is φ = 290532370752.

The previous prime is 463348405763. The next prime is 463348405811. The reversal of 463348405809 is 908504843364.

The square root of 463348405809 is 680697.

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

It can be written as a sum of positive squares in only one way, i.e., 360738378225 + 102610027584 = 600615^2 + 320328^2 .

It is not a de Polignac number, because 463348405809 - 2²¹ = 463346308657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (463348405859) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 312439182 + ... + 312440664.

Almost surely, 2^463348405809 is an apocalyptic number.

463348405809 is the 680697-th square number.

463348405809 is the 340349-th centered octagonal number.

It is an amenable number.

463348405809 is a deficient number, since it is larger than the sum of its proper divisors (275123175114).

463348405809 is an frugal number, since it uses more digits than its factorization.

463348405809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 463348405809 in words is "four hundred sixty-three billion, three hundred forty-eight million, four hundred five thousand, eight hundred nine".