459990900 has 180 divisors, whose sum is σ = 1507676940. Its totient is φ = 121305600.

The previous prime is 459990889. The next prime is 459990929. The reversal of 459990900 is 9099954.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10381284 + 449609616 = 3222^2 + 21204^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 882640 + ... + 883160.

It is an arithmetic number, because the mean of its divisors is an integer number (8375983).

Almost surely, 2^459990900 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 459990900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753838470).

459990900 is an abundant number, since it is smaller than the sum of its proper divisors (1047686040).

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

459990900 is a wasteful number, since it uses less digits than its factorization.

459990900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 459990900 is about 21447.3984436341. The cubic root of 459990900 is about 771.9391725455.

The spelling of 459990900 in words is "four hundred fifty-nine million, nine hundred ninety thousand, nine hundred".