468911488 has 128 divisors (see below), whose sum is σ = 1048723200. Its totient is φ = 207820800.

The previous prime is 468911441. The next prime is 468911501. The reversal of 468911488 is 884119864.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4642638 + ... + 4642738.

It is an arithmetic number, because the mean of its divisors is an integer number (8193150).

Almost surely, 2^468911488 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 468911488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524361600).

468911488 is an abundant number, since it is smaller than the sum of its proper divisors (579811712).

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

468911488 is a wasteful number, since it uses less digits than its factorization.

468911488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its digits is 442368, while the sum is 49.

The square root of 468911488 is about 21654.3641790748. The cubic root of 468911488 is about 776.8973217154.

The spelling of 468911488 in words is "four hundred sixty-eight million, nine hundred eleven thousand, four hundred eighty-eight".