313449864 has 256 divisors, whose sum is σ = 1028160000. Its totient is φ = 79027200.

The previous prime is 313449853. The next prime is 313449869. The reversal of 313449864 is 468944313.

313449864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313449869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3103414 + ... + 3103514.

It is an arithmetic number, because the mean of its divisors is an integer number (4016250).

Almost surely, 2^313449864 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 313449864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080000).

313449864 is an abundant number, since it is smaller than the sum of its proper divisors (714710136).

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

313449864 is a wasteful number, since it uses less digits than its factorization.

313449864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 313449864 is about 17704.5153562587. The cubic root of 313449864 is about 679.2912627210.

The spelling of 313449864 in words is "three hundred thirteen million, four hundred forty-nine thousand, eight hundred sixty-four".