465160 has 32 divisors (see below), whose sum is σ = 1085400. Its totient is φ = 179200.

The previous prime is 465151. The next prime is 465161. The reversal of 465160 is 61564.

It can be written as a sum of positive squares in 4 ways, for example, as 459684 + 5476 = 678^2 + 74^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465161) by changing a digit.

465160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 960 + ... + 1360.

2⁴⁶⁵¹⁶⁰ is an apocalyptic number.

465160 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 465160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542700).

465160 is an abundant number, since it is smaller than the sum of its proper divisors (620240).

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

465160 is a wasteful number, since it uses less digits than its factorization.

465160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 465160 is about 682.0263924512. The cubic root of 465160 is about 77.4819937356.

It can be divided in two parts, 465 and 160, that added together give a 4-th power (625 = 5⁴).

The spelling of 465160 in words is "four hundred sixty-five thousand, one hundred sixty".