459073552 has 60 divisors (see below), whose sum is σ = 1039596780. Its totient is φ = 195810048.

The previous prime is 459073523. The next prime is 459073561. The reversal of 459073552 is 255370954.

It can be written as a sum of positive squares in 2 ways, for example, as 329204736 + 129868816 = 18144^2 + 11396^2 .

It is a super-2 number, since 2×459073552² = 421497052291793408, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178258 + ... + 180814.

It is an arithmetic number, because the mean of its divisors is an integer number (17326613).

Almost surely, 2^459073552 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 459073552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519798390).

459073552 is an abundant number, since it is smaller than the sum of its proper divisors (580523228).

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

459073552 is a wasteful number, since it uses less digits than its factorization.

459073552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 40.

The square root of 459073552 is about 21426.0017735461. The cubic root of 459073552 is about 771.4256782438.

The spelling of 459073552 in words is "four hundred fifty-nine million, seventy-three thousand, five hundred fifty-two".