465010 has 48 divisors (see below), whose sum is σ = 1062936. Its totient is φ = 145152.

The previous prime is 465007. The next prime is 465011. The reversal of 465010 is 10564.

465010 is nontrivially palindromic in base 9.

465010 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 305809 + 159201 = 553^2 + 399^2 .

It is a super-3 number, since 3×465010³ = 301653335668503000, which contains 333 as substring.

465010 is an undulating number in base 3.

465010 is a nontrivial repdigit in base 9.

It is a plaindrome in base 9.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6334 + ... + 6406.

2⁴⁶⁵⁰¹⁰ is an apocalyptic number.

465010 is an abundant number, since it is smaller than the sum of its proper divisors (597926).

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

465010 is a wasteful number, since it uses less digits than its factorization.

465010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 465010 is about 681.9164171656. The cubic root of 465010 is about 77.4736643088.

Adding to 465010 its product of nonzero digits (120), we get a triangular number (465130 = T₉₆₄).

Adding to 465010 its reverse (10564), we get a palindrome (475574).

The spelling of 465010 in words is "four hundred sixty-five thousand, ten".