459060672 has 112 divisors (see below), whose sum is σ = 1461251840. Its totient is φ = 124250112.

The previous prime is 459060661. The next prime is 459060683. The reversal of 459060672 is 276060954.

It is an interprime number because it is at equal distance from previous prime (459060661) and next prime (459060683).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 459060672.

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, 16548 + ... + 34524.

Almost surely, 2^459060672 is an apocalyptic number.

459060672 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 459060672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730625920).

459060672 is an abundant number, since it is smaller than the sum of its proper divisors (1002191168).

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

459060672 is a wasteful number, since it uses less digits than its factorization.

459060672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18018 (or 18008 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 459060672 is about 21425.7012020610. The cubic root of 459060672 is about 771.4184636732.

The spelling of 459060672 in words is "four hundred fifty-nine million, sixty thousand, six hundred seventy-two".