312688488 has 64 divisors (see below), whose sum is σ = 895720320. Its totient is φ = 89107200.

The previous prime is 312688487. The next prime is 312688507. The reversal of 312688488 is 884886213.

312688488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 17683²-1.

It is a super-2 number, since 2×312688488² = 195548181055452288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (312688487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68518 + ... + 72938.

It is an arithmetic number, because the mean of its divisors is an integer number (13995630).

Almost surely, 2^312688488 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 312688488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447860160).

312688488 is an abundant number, since it is smaller than the sum of its proper divisors (583031832).

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

312688488 is a wasteful number, since it uses less digits than its factorization.

312688488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4858 (or 4854 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 312688488 is about 17682.9999717243. Note that the first 4 decimals coincide. The cubic root of 312688488 is about 678.7408127663.

The spelling of 312688488 in words is "three hundred twelve million, six hundred eighty-eight thousand, four hundred eighty-eight".