468818688 has 72 divisors (see below), whose sum is σ = 1343750128. Its totient is φ = 144248832.

The previous prime is 468818677. The next prime is 468818699. The reversal of 468818688 is 886818864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (468818677) and next prime (468818699).

It is a nude number because it is divisible by every one of its digits.

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, 13495 + ... + 33462.

Almost surely, 2^468818688 is an apocalyptic number.

468818688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

468818688 is an abundant number, since it is smaller than the sum of its proper divisors (874931440).

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

468818688 is a wasteful number, since it uses less digits than its factorization.

468818688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46989 (or 46975 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 57.

The square root of 468818688 is about 21652.2213179156. The cubic root of 468818688 is about 776.8460676729.

The spelling of 468818688 in words is "four hundred sixty-eight million, eight hundred eighteen thousand, six hundred eighty-eight".