465960 has 64 divisors (see below), whose sum is σ = 1529280. Its totient is φ = 112640.

The previous prime is 465947. The next prime is 465977. The reversal of 465960 is 69564.

465960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1144 + ... + 1496.

It is an arithmetic number, because the mean of its divisors is an integer number (23895).

2⁴⁶⁵⁹⁶⁰ is an apocalyptic number.

465960 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 465960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764640).

465960 is an abundant number, since it is smaller than the sum of its proper divisors (1063320).

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

465960 is a wasteful number, since it uses less digits than its factorization.

465960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 465960 is about 682.6126280695. The cubic root of 465960 is about 77.5263871299.

It can be divided in two parts, 46 and 5960, that added together give a palindrome (6006).

The spelling of 465960 in words is "four hundred sixty-five thousand, nine hundred sixty".