460320 has 96 divisors (see below), whose sum is σ = 1669248. Its totient is φ = 104448.

The previous prime is 460301. The next prime is 460337. The reversal of 460320 is 23064.

460320 is a nontrivial binomial coefficient, being equal to C(960, 2).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 460320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3292 + ... + 3428.

It is an arithmetic number, because the mean of its divisors is an integer number (17388).

2⁴⁶⁰³²⁰ is an apocalyptic number.

460320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

460320 is the 959-th triangular number and also the 480-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834624).

460320 is an abundant number, since it is smaller than the sum of its proper divisors (1208928).

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

460320 is a wasteful number, since it uses less digits than its factorization.

460320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 460320 is about 678.4688644293. The cubic root of 460320 is about 77.2123223013.

Adding to 460320 its reverse (23064), we get a palindrome (483384).

It can be divided in two parts, 460 and 320, that added together give a triangular number (780 = T₃₉).

The spelling of 460320 in words is "four hundred sixty thousand, three hundred twenty".