465052 has 24 divisors (see below), whose sum is σ = 985824. Its totient is φ = 187392.

The previous prime is 465041. The next prime is 465061. The reversal of 465052 is 250564.

It is a d-powerful number, because it can be written as 4⁹ + 6⁶ + 0 + 5⁷ + 5⁷ + 2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13 + ... + 964.

It is an arithmetic number, because the mean of its divisors is an integer number (41076).

2⁴⁶⁵⁰⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492912).

465052 is an abundant number, since it is smaller than the sum of its proper divisors (520772).

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

465052 is a wasteful number, since it uses less digits than its factorization.

465052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 465052 is about 681.9472120333. The cubic root of 465052 is about 77.4759967288.

It can be divided in two parts, 4 and 65052, that added together give a palindrome (65056).

The spelling of 465052 in words is "four hundred sixty-five thousand, fifty-two".