468618072 has 96 divisors (see below), whose sum is σ = 1309870080. Its totient is φ = 139501440.

The previous prime is 468618037. The next prime is 468618097. The reversal of 468618072 is 270816864.

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 23 ways as a sum of consecutive naturals, for example, 123873 + ... + 127599.

It is an arithmetic number, because the mean of its divisors is an integer number (13644480).

Almost surely, 2^468618072 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 468618072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654935040).

468618072 is an abundant number, since it is smaller than the sum of its proper divisors (841252008).

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

468618072 is a wasteful number, since it uses less digits than its factorization.

468618072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 468618072 is about 21647.5881335543. The cubic root of 468618072 is about 776.7352430335.

The spelling of 468618072 in words is "four hundred sixty-eight million, six hundred eighteen thousand, seventy-two".