460900 has 36 divisors (see below), whose sum is σ = 1093680. Its totient is φ = 167200.

The previous prime is 460891. The next prime is 460903. The reversal of 460900 is 9064.

It is a happy number.

460900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (460903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 891 + ... + 1309.

It is an arithmetic number, because the mean of its divisors is an integer number (30380).

2⁴⁶⁰⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546840).

460900 is an abundant number, since it is smaller than the sum of its proper divisors (632780).

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

460900 is a wasteful number, since it uses less digits than its factorization.

460900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 460900 is about 678.8961628997. The cubic root of 460900 is about 77.2447376872.

Adding to 460900 its reverse (9064), we get a palindrome (469964).

The spelling of 460900 in words is "four hundred sixty thousand, nine hundred".