459721152 has 252 divisors, whose sum is σ = 1505276136. Its totient is φ = 132986880.

The previous prime is 459721139. The next prime is 459721159. The reversal of 459721152 is 251127954.

459721152 is a `hidden beast` number, since 4 + 597 + 2 + 11 + 52 = 666.

It is a super-2 number, since 2×459721152² = 422687075192414208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459721159) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8673958 + ... + 8674010.

It is an arithmetic number, because the mean of its divisors is an integer number (5973318).

Almost surely, 2^459721152 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 459721152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752638068).

459721152 is an abundant number, since it is smaller than the sum of its proper divisors (1045554984).

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

459721152 is a wasteful number, since it uses less digits than its factorization.

459721152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 106 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 459721152 is about 21441.1089265458. The cubic root of 459721152 is about 771.7882494407.

The spelling of 459721152 in words is "four hundred fifty-nine million, seven hundred twenty-one thousand, one hundred fifty-two".