468704384 has 64 divisors (see below), whose sum is σ = 957690240. Its totient is φ = 228427776.

The previous prime is 468704363. The next prime is 468704443. The reversal of 468704384 is 483407864.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 962189 + ... + 962675.

It is an arithmetic number, because the mean of its divisors is an integer number (14963910).

Almost surely, 2^468704384 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 468704384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478845120).

468704384 is an abundant number, since it is smaller than the sum of its proper divisors (488985856).

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

468704384 is a wasteful number, since it uses less digits than its factorization.

468704384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The square root of 468704384 is about 21649.5816125855. The cubic root of 468704384 is about 776.7829275345.

The spelling of 468704384 in words is "four hundred sixty-eight million, seven hundred four thousand, three hundred eighty-four".