462298561 has 16 divisors (see below), whose sum is σ = 498301200. Its totient is φ = 428811264.

The previous prime is 462298553. The next prime is 462298591. The reversal of 462298561 is 165892264.

It can be written as a sum of positive squares in 8 ways, for example, as 28826161 + 433472400 = 5369^2 + 20820^2 .

It is not a de Polignac number, because 462298561 - 2³ = 462298553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (462298511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358005 + ... + 359293.

It is an arithmetic number, because the mean of its divisors is an integer number (31143825).

Almost surely, 2^462298561 is an apocalyptic number.

It is an amenable number.

462298561 is a deficient number, since it is larger than the sum of its proper divisors (36002639).

462298561 is an equidigital number, since it uses as much as digits as its factorization.

462298561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1379 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

The square root of 462298561 is about 21501.1292959230. The cubic root of 462298561 is about 773.2278960782.

The spelling of 462298561 in words is "four hundred sixty-two million, two hundred ninety-eight thousand, five hundred sixty-one".