313978476 has 72 divisors (see below), whose sum is σ = 881662320. Its totient is φ = 86610048.

The previous prime is 313978463. The next prime is 313978481. The reversal of 313978476 is 674879313.

It is a super-3 number, since 3×313978476³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7846 + ... + 26258.

It is an arithmetic number, because the mean of its divisors is an integer number (12245310).

Almost surely, 2^313978476 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 313978476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440831160).

313978476 is an abundant number, since it is smaller than the sum of its proper divisors (567683844).

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

313978476 is a wasteful number, since it uses less digits than its factorization.

313978476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18463 (or 18454 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 313978476 is about 17719.4378014654. The cubic root of 313978476 is about 679.6729078553.

The spelling of 313978476 in words is "three hundred thirteen million, nine hundred seventy-eight thousand, four hundred seventy-six".