460224 has 84 divisors (see below), whose sum is σ = 1426464. Its totient is φ = 141312.

The previous prime is 460217. The next prime is 460231. The reversal of 460224 is 422064.

460224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (460217) and next prime (460231).

It is a super-2 number, since 2×460224² = 423612260352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a d-powerful number, because it can be written as 4³ + 6⁷ + 2¹⁵ + 0 + 2¹⁷ + 4⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 460197 and 460206.

It is a congruent number.

It is an unprimeable number.

460224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 9769 + ... + 9815.

2⁴⁶⁰²²⁴ 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 460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713232).

460224 is an abundant number, since it is smaller than the sum of its proper divisors (966240).

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

460224 is a wasteful number, since it uses less digits than its factorization.

460224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 460224 is about 678.3981132049. The cubic root of 460224 is about 77.2069543701.

Adding to 460224 its reverse (422064), we get a palindrome (882288).

The spelling of 460224 in words is "four hundred sixty thousand, two hundred twenty-four".