459547452 has 384 divisors, whose sum is σ = 1625702400. Its totient is φ = 108801792.

The previous prime is 459547447. The next prime is 459547463. The reversal of 459547452 is 254745954.

459547452 is a `hidden beast` number, since 4 + 59 + 547 + 4 + 52 = 666.

It is a super-2 number, since 2×459547452² = 422367721279384608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 459547398 and 459547407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4294783 + ... + 4294889.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^459547452 is an apocalyptic number.

459547452 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459547452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

459547452 is an abundant number, since it is smaller than the sum of its proper divisors (1166154948).

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

459547452 is a wasteful number, since it uses less digits than its factorization.

459547452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 459547452 is about 21437.0579138090. The cubic root of 459547452 is about 771.6910336204.

The spelling of 459547452 in words is "four hundred fifty-nine million, five hundred forty-seven thousand, four hundred fifty-two".