459728490 has 64 divisors (see below), whose sum is σ = 1217244672. Its totient is φ = 110400000.

The previous prime is 459728431. The next prime is 459728497. The reversal of 459728490 is 94827954.

It is a super-2 number, since 2×459728490² = 422700569035360200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (459728497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1615 + ... + 30365.

It is an arithmetic number, because the mean of its divisors is an integer number (19019448).

Almost surely, 2^459728490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459728490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608622336).

459728490 is an abundant number, since it is smaller than the sum of its proper divisors (757516182).

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

459728490 is a wasteful number, since it uses less digits than its factorization.

459728490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28815.

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 459728490 is about 21441.2800457435. The cubic root of 459728490 is about 771.7923558082.

The spelling of 459728490 in words is "four hundred fifty-nine million, seven hundred twenty-eight thousand, four hundred ninety".