463893123409 has 9 divisors (see below), whose sum is σ = 466441342353. Its totient is φ = 461358761472.

The previous prime is 463893123389. The next prime is 463893123427. The reversal of 463893123409 is 904321398364.

It is a happy number.

The square root of 463893123409 is 681097.

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 213420900625 + 250472222784 = 461975^2 + 500472^2 .

It is not a de Polignac number, because 463893123409 - 2¹⁵ = 463893090641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (463893127409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 131449957 + ... + 131453485.

It is an arithmetic number, because the mean of its divisors is an integer number (51826815817).

Almost surely, 2^463893123409 is an apocalyptic number.

463893123409 is the 681097-th square number.

463893123409 is the 340549-th centered octagonal number.

It is an amenable number.

463893123409 is a deficient number, since it is larger than the sum of its proper divisors (2548218944).

463893123409 is an frugal number, since it uses more digits than its factorization.

463893123409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7444 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 52.

The spelling of 463893123409 in words is "four hundred sixty-three billion, eight hundred ninety-three million, one hundred twenty-three thousand, four hundred nine".