10289466 has 48 divisors (see below), whose sum is σ = 24549408. Its totient is φ = 3088800.

The previous prime is 10289453. The next prime is 10289467. The reversal of 10289466 is 66498201.

It is a super-3 number, since 3×10289466³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10289466.

It is not an unprimeable number, because it can be changed into a prime (10289467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30921 + ... + 31251.

It is an arithmetic number, because the mean of its divisors is an integer number (511446).

Almost surely, 2^10289466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10289466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12274704).

10289466 is an abundant number, since it is smaller than the sum of its proper divisors (14259942).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10289466 is a wasteful number, since it uses less digits than its factorization.

10289466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10289466 is about 3207.7197508511. The cubic root of 10289466 is about 217.5025128525.

The spelling of 10289466 in words is "ten million, two hundred eighty-nine thousand, four hundred sixty-six".