465204300 has 144 divisors (see below), whose sum is σ = 1493071104. Its totient is φ = 110880000.

The previous prime is 465204287. The next prime is 465204301. The reversal of 465204300 is 3402564.

It is not an unprimeable number, because it can be changed into a prime (465204301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200145 + ... + 202455.

Almost surely, 2^465204300 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 465204300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746535552).

465204300 is an abundant number, since it is smaller than the sum of its proper divisors (1027866804).

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

465204300 is a wasteful number, since it uses less digits than its factorization.

465204300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 465204300 is about 21568.5952254661. The cubic root of 465204300 is about 774.8445335048.

Adding to 465204300 its reverse (3402564), we get a palindrome (468606864).

The spelling of 465204300 in words is "four hundred sixty-five million, two hundred four thousand, three hundred".