10468289 has 16 divisors (see below), whose sum is σ = 11891712. Its totient is φ = 9142848.

The previous prime is 10468267. The next prime is 10468303. The reversal of 10468289 is 98286401.

10468289 = 2² + 3² + ... + 315².

10468289 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10468289 - 2¹⁶ = 10402753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10468219) 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, 46832 + ... + 47054.

It is an arithmetic number, because the mean of its divisors is an integer number (743232).

Almost surely, 2^10468289 is an apocalyptic number.

It is an amenable number.

10468289 is a deficient number, since it is larger than the sum of its proper divisors (1423423).

10468289 is a wasteful number, since it uses less digits than its factorization.

10468289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416.

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 10468289 is about 3235.4735356668. The cubic root of 10468289 is about 218.7552919536.

The spelling of 10468289 in words is "ten million, four hundred sixty-eight thousand, two hundred eighty-nine".