459471100 has 72 divisors (see below), whose sum is σ = 1093680000. Its totient is φ = 166161600.

The previous prime is 459471073. The next prime is 459471101. The reversal of 459471100 is 1174954.

It is a super-2 number, since 2×459471100² = 422227383470420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459471101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217851 + ... + 219949.

It is an arithmetic number, because the mean of its divisors is an integer number (15190000).

Almost surely, 2^459471100 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 459471100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546840000).

459471100 is an abundant number, since it is smaller than the sum of its proper divisors (634208900).

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

459471100 is a wasteful number, since it uses less digits than its factorization.

459471100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 459471100 is about 21435.2769984435. The cubic root of 459471100 is about 771.6482934442.

The spelling of 459471100 in words is "four hundred fifty-nine million, four hundred seventy-one thousand, one hundred".