459712862100 has 144 divisors (see below), whose sum is σ = 1478164766400. Its totient is φ = 122567448960.

The previous prime is 459712862027. The next prime is 459712862101. The reversal of 459712862100 is 1268217954.

459712862100 is a `hidden beast` number, since 4 + 5 + 9 + 7 + 12 + 8 + 621 + 0 + 0 = 666.

It is a super-2 number, since 2×459712862100² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459712862101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18744646 + ... + 18769154.

It is an arithmetic number, because the mean of its divisors is an integer number (10265033100).

Almost surely, 2^459712862100 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 459712862100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739082383200).

459712862100 is an abundant number, since it is smaller than the sum of its proper divisors (1018451904300).

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

459712862100 is a wasteful number, since it uses less digits than its factorization.

459712862100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31479 (or 31466 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 459712862100 in words is "four hundred fifty-nine billion, seven hundred twelve million, eight hundred sixty-two thousand, one hundred".