460824 has 64 divisors (see below), whose sum is σ = 1424640. Its totient is φ = 120960.

The previous prime is 460813. The next prime is 460829. The reversal of 460824 is 428064.

460824 is nontrivially palindromic in base 15.

460824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 460794 and 460803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460829) 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, 2079 + ... + 2289.

It is an arithmetic number, because the mean of its divisors is an integer number (22260).

2⁴⁶⁰⁸²⁴ 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 460824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712320).

460824 is an abundant number, since it is smaller than the sum of its proper divisors (963816).

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

460824 is a wasteful number, since it uses less digits than its factorization.

460824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 460824 is about 678.8401873784. The cubic root of 460824 is about 77.2404917026.

Adding to 460824 its reverse (428064), we get a palindrome (888888).

It can be divided in two parts, 4608 and 24, that multiplied together give a cube (110592 = 48³).

The spelling of 460824 in words is "four hundred sixty thousand, eight hundred twenty-four".