465320000 has 70 divisors (see below), whose sum is σ = 1153941558. Its totient is φ = 186112000.

The previous prime is 465319963. The next prime is 465320021. The reversal of 465320000 is 23564.

It can be written as a sum of positive squares in 5 ways, for example, as 141895744 + 323424256 = 11912^2 + 17984^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 34184 + ... + 45816.

Almost surely, 2^465320000 is an apocalyptic number.

465320000 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 465320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576970779).

465320000 is an abundant number, since it is smaller than the sum of its proper divisors (688621558).

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

465320000 is an equidigital number, since it uses as much as digits as its factorization.

465320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11665 (or 11640 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 465320000 is about 21571.2771990905. The cubic root of 465320000 is about 774.9087648410.

Adding to 465320000 its reverse (23564), we get a palindrome (465343564).

The spelling of 465320000 in words is "four hundred sixty-five million, three hundred twenty thousand".