465668500 has 144 divisors (see below), whose sum is σ = 1150269120. Its totient is φ = 164472000.

The previous prime is 465668491. The next prime is 465668501. The reversal of 465668500 is 5866564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465668501) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2601411 + ... + 2601589.

It is an arithmetic number, because the mean of its divisors is an integer number (7987980).

Almost surely, 2^465668500 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 465668500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575134560).

465668500 is an abundant number, since it is smaller than the sum of its proper divisors (684600620).

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

465668500 is a wasteful number, since it uses less digits than its factorization.

465668500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 465668500 is about 21579.3535584364. The cubic root of 465668500 is about 775.1021717534.

The spelling of 465668500 in words is "four hundred sixty-five million, six hundred sixty-eight thousand, five hundred".