313421472 has 144 divisors (see below), whose sum is σ = 1097066880. Its totient is φ = 82653696.

The previous prime is 313421443. The next prime is 313421513. The reversal of 313421472 is 274124313.

It is a happy number.

313421472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×313421472² = 196466038221293568, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20229 + ... + 32187.

It is an arithmetic number, because the mean of its divisors is an integer number (7618520).

Almost surely, 2^313421472 is an apocalyptic number.

313421472 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 313421472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548533440).

313421472 is an abundant number, since it is smaller than the sum of its proper divisors (783645408).

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

313421472 is a wasteful number, since it uses less digits than its factorization.

313421472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11995 (or 11984 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 313421472 is about 17703.7135087529. The cubic root of 313421472 is about 679.2707522427.

Adding to 313421472 its reverse (274124313), we get a palindrome (587545785).

The spelling of 313421472 in words is "three hundred thirteen million, four hundred twenty-one thousand, four hundred seventy-two".