312469248 has 288 divisors, whose sum is σ = 1087865856. Its totient is φ = 77266944.

The previous prime is 312469247. The next prime is 312469259. The reversal of 312469248 is 842964213.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312469247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1187965 + ... + 1188227.

It is an arithmetic number, because the mean of its divisors is an integer number (3777312).

Almost surely, 2^312469248 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 312469248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543932928).

312469248 is an abundant number, since it is smaller than the sum of its proper divisors (775396608).

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

312469248 is a wasteful number, since it uses less digits than its factorization.

312469248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 312469248 is about 17676.7997103548. The cubic root of 312469248 is about 678.5821437464.

The spelling of 312469248 in words is "three hundred twelve million, four hundred sixty-nine thousand, two hundred forty-eight".