459240672 has 96 divisors (see below), whose sum is σ = 1347300864. Its totient is φ = 135756800.

The previous prime is 459240599. The next prime is 459240751. The reversal of 459240672 is 276042954.

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

It is a super-3 number, since 3×459240672³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 459240672.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37993 + ... + 48599.

It is an arithmetic number, because the mean of its divisors is an integer number (14034384).

Almost surely, 2^459240672 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 459240672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673650432).

459240672 is an abundant number, since it is smaller than the sum of its proper divisors (888060192).

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

459240672 is a wasteful number, since it uses less digits than its factorization.

459240672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672 (or 10664 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 459240672 is about 21429.9013530161. The cubic root of 459240672 is about 771.5192761854.

The spelling of 459240672 in words is "four hundred fifty-nine million, two hundred forty thousand, six hundred seventy-two".