468212688 has 60 divisors (see below), whose sum is σ = 1311837540. Its totient is φ = 155893248.

The previous prime is 468212671. The next prime is 468212699. The reversal of 468212688 is 886212864.

It can be written as a sum of positive squares in 2 ways, for example, as 183548304 + 284664384 = 13548^2 + 16872^2 .

It is a super-3 number, since 3×468212688³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205218 + ... + 207486.

It is an arithmetic number, because the mean of its divisors is an integer number (21863959).

Almost surely, 2^468212688 is an apocalyptic number.

468212688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

468212688 is an abundant number, since it is smaller than the sum of its proper divisors (843624852).

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

468212688 is a wasteful number, since it uses less digits than its factorization.

468212688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 3707 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 468212688 is about 21638.2228475446. Note that the first 3 decimals coincide. The cubic root of 468212688 is about 776.5112035310.

The spelling of 468212688 in words is "four hundred sixty-eight million, two hundred twelve thousand, six hundred eighty-eight".