312449760 has 288 divisors, whose sum is σ = 1232824320. Its totient is φ = 70585344.

The previous prime is 312449729. The next prime is 312449773. The reversal of 312449760 is 67944213.

312449760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1401009 + ... + 1401231.

It is an arithmetic number, because the mean of its divisors is an integer number (4280640).

Almost surely, 2^312449760 is an apocalyptic number.

312449760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312449760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616412160).

312449760 is an abundant number, since it is smaller than the sum of its proper divisors (920374560).

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

312449760 is a wasteful number, since it uses less digits than its factorization.

312449760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 312449760 is about 17676.2484707587. The cubic root of 312449760 is about 678.5680362421.

It can be divided in two parts, 31 and 2449760, that added together give a triangular number (2449791 = T₂₂₁₃).

The spelling of 312449760 in words is "three hundred twelve million, four hundred forty-nine thousand, seven hundred sixty".