465520 has 60 divisors (see below), whose sum is σ = 1234296. Its totient is φ = 161920.

The previous prime is 465469. The next prime is 465523. The reversal of 465520 is 25564.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 465491 and 465500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20229 + ... + 20251.

2⁴⁶⁵⁵²⁰ is an apocalyptic number.

465520 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 465520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617148).

465520 is an abundant number, since it is smaller than the sum of its proper divisors (768776).

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

465520 is a wasteful number, since it uses less digits than its factorization.

465520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

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

The square root of 465520 is about 682.2902608128. The cubic root of 465520 is about 77.5019770567.

The spelling of 465520 in words is "four hundred sixty-five thousand, five hundred twenty".