312720408 has 192 divisors, whose sum is σ = 1137427200. Its totient is φ = 74960640.

The previous prime is 312720371. The next prime is 312720431. The reversal of 312720408 is 804027213.

312720408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 69903 + ... + 74241.

It is an arithmetic number, because the mean of its divisors is an integer number (5924100).

Almost surely, 2^312720408 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 312720408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568713600).

312720408 is an abundant number, since it is smaller than the sum of its proper divisors (824706792).

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

312720408 is a wasteful number, since it uses less digits than its factorization.

312720408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 312720408 is about 17683.9025104755. The cubic root of 312720408 is about 678.7639078171.

The spelling of 312720408 in words is "three hundred twelve million, seven hundred twenty thousand, four hundred eight".