459049500 has 576 divisors, whose sum is σ = 1907942400. Its totient is φ = 90201600.

The previous prime is 459049471. The next prime is 459049529. The reversal of 459049500 is 5940954.

It is an interprime number because it is at equal distance from previous prime (459049471) and next prime (459049529).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7780471 + ... + 7780529.

It is an arithmetic number, because the mean of its divisors is an integer number (3312400).

Almost surely, 2^459049500 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 459049500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953971200).

459049500 is an abundant number, since it is smaller than the sum of its proper divisors (1448892900).

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

459049500 is a wasteful number, since it uses less digits than its factorization.

459049500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 459049500 is about 21425.4404855536. The cubic root of 459049500 is about 771.4122057081.

The spelling of 459049500 in words is "four hundred fifty-nine million, forty-nine thousand, five hundred".