312048408 has 64 divisors (see below), whose sum is σ = 904158720. Its totient is φ = 87897600.

The previous prime is 312048391. The next prime is 312048421. The reversal of 312048408 is 804840213.

312048408 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1153 + ... + 25008.

It is an arithmetic number, because the mean of its divisors is an integer number (14127480).

Almost surely, 2^312048408 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 312048408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452079360).

312048408 is an abundant number, since it is smaller than the sum of its proper divisors (592110312).

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

312048408 is a wasteful number, since it uses less digits than its factorization.

312048408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26248 (or 26244 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 312048408 is about 17664.8919611754. The cubic root of 312048408 is about 678.2773640888.

The spelling of 312048408 in words is "three hundred twelve million, forty-eight thousand, four hundred eight".