459708900 has 288 divisors, whose sum is σ = 1639895040. Its totient is φ = 97044480.

The previous prime is 459708877. The next prime is 459708901. The reversal of 459708900 is 9807954.

It is a super-2 number, since 2×459708900² = 422664545478420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459708901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2820219 + ... + 2820381.

It is an arithmetic number, because the mean of its divisors is an integer number (5694080).

Almost surely, 2^459708900 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 459708900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819947520).

459708900 is an abundant number, since it is smaller than the sum of its proper divisors (1180186140).

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

459708900 is a wasteful number, since it uses less digits than its factorization.

459708900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 459708900 is about 21440.8232118079. The cubic root of 459708900 is about 771.7813930861.

The spelling of 459708900 in words is "four hundred fifty-nine million, seven hundred eight thousand, nine hundred".