460720 has 40 divisors (see below), whose sum is σ = 1156176. Its totient is φ = 169728.

The previous prime is 460711. The next prime is 460721. The reversal of 460720 is 27064.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (460721) by changing a digit.

460720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 819 + ... + 1261.

2⁴⁶⁰⁷²⁰ is an apocalyptic number.

460720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578088).

460720 is an abundant number, since it is smaller than the sum of its proper divisors (695456).

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

460720 is a wasteful number, since it uses less digits than its factorization.

460720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 460720 is about 678.7635818162. The cubic root of 460720 is about 77.2346806515.

Adding to 460720 its reverse (27064), we get a palindrome (487784).

The spelling of 460720 in words is "four hundred sixty thousand, seven hundred twenty".