313446640 has 80 divisors (see below), whose sum is σ = 804073536. Its totient is φ = 112896000.

The previous prime is 313446607. The next prime is 313446643. The reversal of 313446640 is 46644313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×313446640² = 196497592254579200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313446643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38965 + ... + 46315.

Almost surely, 2^313446640 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 313446640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402036768).

313446640 is an abundant number, since it is smaller than the sum of its proper divisors (490626896).

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

313446640 is a wasteful number, since it uses less digits than its factorization.

313446640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7418 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 313446640 is about 17704.4243058056. The cubic root of 313446640 is about 679.2889337547.

The spelling of 313446640 in words is "three hundred thirteen million, four hundred forty-six thousand, six hundred forty".