312001408 has 64 divisors (see below), whose sum is σ = 663897600. Its totient is φ = 145539072.

The previous prime is 312001387. The next prime is 312001409. The reversal of 312001408 is 804100213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312001409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275788 + ... + 276916.

It is an arithmetic number, because the mean of its divisors is an integer number (10373400).

Almost surely, 2^312001408 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 312001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331948800).

312001408 is an abundant number, since it is smaller than the sum of its proper divisors (351896192).

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

312001408 is a wasteful number, since it uses less digits than its factorization.

312001408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 312001408 is about 17663.5615887623. The cubic root of 312001408 is about 678.2433088632.

The spelling of 312001408 in words is "three hundred twelve million, one thousand, four hundred eight".