313324440 has 384 divisors, whose sum is σ = 1201132800. Its totient is φ = 64281600.

The previous prime is 313324391. The next prime is 313324457. The reversal of 313324440 is 44423313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 313324440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10107225 + ... + 10107255.

It is an arithmetic number, because the mean of its divisors is an integer number (3127950).

Almost surely, 2^313324440 is an apocalyptic number.

313324440 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 313324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600566400).

313324440 is an abundant number, since it is smaller than the sum of its proper divisors (887808360).

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

313324440 is a wasteful number, since it uses less digits than its factorization.

313324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 313324440 is about 17700.9728546202. The cubic root of 313324440 is about 679.2006466411.

Adding to 313324440 its reverse (44423313), we get a palindrome (357747753).

The spelling of 313324440 in words is "three hundred thirteen million, three hundred twenty-four thousand, four hundred forty".