461320 has 32 divisors (see below), whose sum is σ = 1094400. Its totient is φ = 174528.

The previous prime is 461317. The next prime is 461323. The reversal of 461320 is 23164.

It is an interprime number because it is at equal distance from previous prime (461317) and next prime (461323).

It is a super-2 number, since 2×461320² = 425632284800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 461294 and 461303.

It is not an unprimeable number, because it can be changed into a prime (461323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457 + ... + 1063.

It is an arithmetic number, because the mean of its divisors is an integer number (34200).

2⁴⁶¹³²⁰ is an apocalyptic number.

461320 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 461320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547200).

461320 is an abundant number, since it is smaller than the sum of its proper divisors (633080).

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

461320 is a wasteful number, since it uses less digits than its factorization.

461320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 461320 is about 679.2054181174. The cubic root of 461320 is about 77.2681939251.

Adding to 461320 its reverse (23164), we get a palindrome (484484).

The spelling of 461320 in words is "four hundred sixty-one thousand, three hundred twenty".