459968900 has 36 divisors (see below), whose sum is σ = 1001745780. Its totient is φ = 183321600.

The previous prime is 459968879. The next prime is 459968911. The reversal of 459968900 is 9869954.

It can be written as a sum of positive squares in 6 ways, for example, as 9935104 + 450033796 = 3152^2 + 21214^2 .

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

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 11 ways as a sum of consecutive naturals, for example, 19916 + ... + 36284.

Almost surely, 2^459968900 is an apocalyptic number.

It is an amenable number.

459968900 is an abundant number, since it is smaller than the sum of its proper divisors (541776880).

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

459968900 is a wasteful number, since it uses less digits than its factorization.

459968900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16664 (or 16657 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The square root of 459968900 is about 21446.8855547839. The cubic root of 459968900 is about 771.9268658292.

The spelling of 459968900 in words is "four hundred fifty-nine million, nine hundred sixty-eight thousand, nine hundred".