468465984 has 112 divisors (see below), whose sum is σ = 1573987200. Its totient is φ = 133843968.

The previous prime is 468465973. The next prime is 468465997. The reversal of 468465984 is 489564864.

468465984 is a `hidden beast` number, since 4 + 6 + 8 + 46 + 598 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 468465984.

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, 7269 + ... + 31460.

Almost surely, 2^468465984 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 468465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786993600).

468465984 is an abundant number, since it is smaller than the sum of its proper divisors (1105521216).

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

468465984 is a wasteful number, since it uses less digits than its factorization.

468465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38757 (or 38741 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 468465984 is about 21644.0750322115. The cubic root of 468465984 is about 776.6512052362.

The spelling of 468465984 in words is "four hundred sixty-eight million, four hundred sixty-five thousand, nine hundred eighty-four".