313025460 has 144 divisors (see below), whose sum is σ = 980320320. Its totient is φ = 74004480.

The previous prime is 313025443. The next prime is 313025491. The reversal of 313025460 is 64520313.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 313025460.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3517096 + ... + 3517184.

It is an arithmetic number, because the mean of its divisors is an integer number (6807780).

Almost surely, 2^313025460 is an apocalyptic number.

313025460 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 313025460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490160160).

313025460 is an abundant number, since it is smaller than the sum of its proper divisors (667294860).

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

313025460 is a wasteful number, since it uses less digits than its factorization.

313025460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 313025460 is about 17692.5255404648. The cubic root of 313025460 is about 678.9845425991.

Adding to 313025460 its reverse (64520313), we get a palindrome (377545773).

The spelling of 313025460 in words is "three hundred thirteen million, twenty-five thousand, four hundred sixty".