462529 has 2 divisors, whose sum is σ = 462530. Its totient is φ = 462528.

The previous prime is 462499. The next prime is 462541. The reversal of 462529 is 925264.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 332929 + 129600 = 577^2 + 360^2 .

It is a cyclic number.

It is not a de Polignac number, because 462529 - 2⁷ = 462401 is a prime.

462529 is a lucky number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 462497 and 462506.

It is not a weakly prime, because it can be changed into another prime (462569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 231264 + 231265.

It is an arithmetic number, because the mean of its divisors is an integer number (231265).

2⁴⁶²⁵²⁹ is an apocalyptic number.

It is an amenable number.

462529 is a deficient number, since it is larger than the sum of its proper divisors (1).

462529 is an equidigital number, since it uses as much as digits as its factorization.

462529 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4320, while the sum is 28.

The square root of 462529 is about 680.0948463266. The cubic root of 462529 is about 77.3356350055.

The spelling of 462529 in words is "four hundred sixty-two thousand, five hundred twenty-nine".