465300 has 108 divisors (see below), whose sum is σ = 1624896. Its totient is φ = 110400.

The previous prime is 465299. The next prime is 465317. The reversal of 465300 is 3564.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 465300.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9877 + ... + 9923.

2⁴⁶⁵³⁰⁰ 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 465300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812448).

465300 is an abundant number, since it is smaller than the sum of its proper divisors (1159596).

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

465300 is a wasteful number, since it uses less digits than its factorization.

465300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 465300 is about 682.1290200541. The cubic root of 465300 is about 77.4897662519.

Adding to 465300 its reverse (3564), we get a palindrome (468864).

The spelling of 465300 in words is "four hundred sixty-five thousand, three hundred".