313169472 has 336 divisors, whose sum is σ = 1171602432. Its totient is φ = 77552640.

The previous prime is 313169459. The next prime is 313169477. The reversal of 313169472 is 274961313.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (313169477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019943 + ... + 1020249.

It is an arithmetic number, because the mean of its divisors is an integer number (3486912).

Almost surely, 2^313169472 is an apocalyptic number.

313169472 is a gapful number since it is divisible by the number (32) 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 313169472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585801216).

313169472 is an abundant number, since it is smaller than the sum of its proper divisors (858432960).

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

313169472 is a wasteful number, since it uses less digits than its factorization.

313169472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 313169472 is about 17696.5949267084. The cubic root of 313169472 is about 679.0886522674.

The spelling of 313169472 in words is "three hundred thirteen million, one hundred sixty-nine thousand, four hundred seventy-two".