468806688 has 144 divisors (see below), whose sum is σ = 1613364480. Its totient is φ = 126056448.

The previous prime is 468806651. The next prime is 468806719. The reversal of 468806688 is 886608864.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27433 + ... + 41111.

It is an arithmetic number, because the mean of its divisors is an integer number (11203920).

Almost surely, 2^468806688 is an apocalyptic number.

468806688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468806688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806682240).

468806688 is an abundant number, since it is smaller than the sum of its proper divisors (1144557792).

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

468806688 is a wasteful number, since it uses less digits than its factorization.

468806688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13719 (or 13708 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The square root of 468806688 is about 21651.9442083153. The cubic root of 468806688 is about 776.8394395011.

The spelling of 468806688 in words is "four hundred sixty-eight million, eight hundred six thousand, six hundred eighty-eight".