459018972 has 72 divisors (see below), whose sum is σ = 1235052000. Its totient is φ = 143244288.

The previous prime is 459018949. The next prime is 459018983. The reversal of 459018972 is 279810954.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119904 + ... + 123672.

It is an arithmetic number, because the mean of its divisors is an integer number (17153500).

Almost surely, 2^459018972 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 459018972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617526000).

459018972 is an abundant number, since it is smaller than the sum of its proper divisors (776033028).

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

459018972 is a wasteful number, since it uses less digits than its factorization.

459018972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 459018972 is about 21424.7280496159. The cubic root of 459018972 is about 771.3951050150.

The spelling of 459018972 in words is "four hundred fifty-nine million, eighteen thousand, nine hundred seventy-two".