465000 has 80 divisors (see below), whose sum is σ = 1499520. Its totient is φ = 120000.

The previous prime is 464999. The next prime is 465007. The reversal of 465000 is 564.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (465007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14985 + ... + 15015.

It is an arithmetic number, because the mean of its divisors is an integer number (18744).

2⁴⁶⁵⁰⁰⁰ is an apocalyptic number.

465000 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 465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749760).

465000 is an abundant number, since it is smaller than the sum of its proper divisors (1034520).

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

465000 is a wasteful number, since it uses less digits than its factorization.

465000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 465000 is about 681.9090848493. The cubic root of 465000 is about 77.4731089500.

Adding to 465000 its reverse (564), we get a palindrome (465564).

The spelling of 465000 in words is "four hundred sixty-five thousand".