459061728 has 96 divisors (see below), whose sum is σ = 1227042432. Its totient is φ = 150259200.

The previous prime is 459061711. The next prime is 459061747. The reversal of 459061728 is 827160954.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×459061728² = 421475340228691968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 459061728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2175543 + ... + 2175753.

It is an arithmetic number, because the mean of its divisors is an integer number (12781692).

Almost surely, 2^459061728 is an apocalyptic number.

459061728 is a gapful number since it is divisible by the number (48) 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 459061728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613521216).

459061728 is an abundant number, since it is smaller than the sum of its proper divisors (767980704).

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

459061728 is a wasteful number, since it uses less digits than its factorization.

459061728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 459061728 is about 21425.7258453477. The cubic root of 459061728 is about 771.4190551834.

The spelling of 459061728 in words is "four hundred fifty-nine million, sixty-one thousand, seven hundred twenty-eight".