313817280 has 448 divisors, whose sum is σ = 1253532672. Its totient is φ = 64880640.

The previous prime is 313817237. The next prime is 313817341. The reversal of 313817280 is 82718313.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4683807 + ... + 4683873.

It is an arithmetic number, because the mean of its divisors is an integer number (2798064).

Almost surely, 2^313817280 is an apocalyptic number.

313817280 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 313817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626766336).

313817280 is an abundant number, since it is smaller than the sum of its proper divisors (939715392).

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

313817280 is a wasteful number, since it uses less digits than its factorization.

313817280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 313817280 is about 17714.8886533334. Note that the first 3 decimals coincide. The cubic root of 313817280 is about 679.5565736507.

The spelling of 313817280 in words is "three hundred thirteen million, eight hundred seventeen thousand, two hundred eighty".