463928521 has 27 divisors (see below), whose sum is σ = 576469557. Its totient is φ = 372193920.

The previous prime is 463928513. The next prime is 463928537. The reversal of 463928521 is 125829364.

The square root of 463928521 is 21539.

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 65367225 + 398561296 = 8085^2 + 19964^2 .

It is not a de Polignac number, because 463928521 - 2³ = 463928513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (463928551) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2563051 + ... + 2563231.

Almost surely, 2^463928521 is an apocalyptic number.

463928521 is the 21539-th square number.

463928521 is the 10770-th centered octagonal number.

It is an amenable number.

463928521 is a deficient number, since it is larger than the sum of its proper divisors (112541036).

463928521 is an equidigital number, since it uses as much as digits as its factorization.

463928521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 205 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The cubic root of 463928521 is about 774.1355722922.

The spelling of 463928521 in words is "four hundred sixty-three million, nine hundred twenty-eight thousand, five hundred twenty-one".