464806900 has 18 divisors (see below), whose sum is σ = 1008631190. Its totient is φ = 185922720.

The previous prime is 464806891. The next prime is 464806907. The reversal of 464806900 is 9608464.

It can be written as a sum of positive squares in 3 ways, for example, as 59536 + 464747364 = 244^2 + 21558^2 .

It is a super-2 number, since 2×464806900² = 432090908575220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 464806900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464806907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2323935 + ... + 2324134.

Almost surely, 2^464806900 is an apocalyptic number.

It is an amenable number.

464806900 is an abundant number, since it is smaller than the sum of its proper divisors (543824290).

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

464806900 is a wasteful number, since it uses less digits than its factorization.

464806900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648083 (or 4648076 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 464806900 is about 21559.3807888817. The cubic root of 464806900 is about 774.6238340972.

The spelling of 464806900 in words is "four hundred sixty-four million, eight hundred six thousand, nine hundred".