459078750900 has 1080 divisors, whose sum is σ = 1916381218752. Its totient is φ = 93985920000.

The previous prime is 459078750887. The next prime is 459078750929. The reversal of 459078750900 is 9057870954.

459078750900 is a `hidden beast` number, since 4 + 59 + 0 + 7 + 87 + 509 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 309978160 + ... + 309979640.

Almost surely, 2^459078750900 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 459078750900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958190609376).

459078750900 is an abundant number, since it is smaller than the sum of its proper divisors (1457302467852).

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

459078750900 is a wasteful number, since it uses less digits than its factorization.

459078750900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 459078750900 in words is "four hundred fifty-nine billion, seventy-eight million, seven hundred fifty thousand, nine hundred".