465116300 has 72 divisors (see below), whose sum is σ = 1128021552. Its totient is φ = 164992000.

The previous prime is 465116273. The next prime is 465116321. The reversal of 465116300 is 3611564.

It is a self number, because there is not a number n which added to its sum of digits gives 465116300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39944 + ... + 50256.

It is an arithmetic number, because the mean of its divisors is an integer number (15666966).

Almost surely, 2^465116300 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 465116300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564010776).

465116300 is an abundant number, since it is smaller than the sum of its proper divisors (662905252).

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

465116300 is a wasteful number, since it uses less digits than its factorization.

465116300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10379 (or 10372 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 465116300 is about 21566.5551259352. Note that the first 3 decimals coincide. The cubic root of 465116300 is about 774.7956728079.

Adding to 465116300 its reverse (3611564), we get a palindrome (468727864).

The spelling of 465116300 in words is "four hundred sixty-five million, one hundred sixteen thousand, three hundred".