468688384 has 80 divisors (see below), whose sum is σ = 974468880. Its totient is φ = 225034240.

The previous prime is 468688369. The next prime is 468688403. The reversal of 468688384 is 483886864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1742202 + ... + 1742470.

It is an arithmetic number, because the mean of its divisors is an integer number (12180861).

Almost surely, 2^468688384 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 468688384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487234440).

468688384 is an abundant number, since it is smaller than the sum of its proper divisors (505780496).

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

468688384 is an equidigital number, since it uses as much as digits as its factorization.

468688384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 395 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 55.

The square root of 468688384 is about 21649.2120872793. The cubic root of 468688384 is about 776.7740885102.

The spelling of 468688384 in words is "four hundred sixty-eight million, six hundred eighty-eight thousand, three hundred eighty-four".