313480 has 32 divisors (see below), whose sum is σ = 748440. Its totient is φ = 117760.

The previous prime is 313477. The next prime is 313507. The reversal of 313480 is 84313.

It can be written as a sum of positive squares in 4 ways, for example, as 264196 + 49284 = 514^2 + 222^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450 + ... + 910.

2³¹³⁴⁸⁰ 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 313480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374220).

313480 is an abundant number, since it is smaller than the sum of its proper divisors (434960).

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

313480 is a wasteful number, since it uses less digits than its factorization.

313480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 313480 is about 559.8928468913. The cubic root of 313480 is about 67.9313031716.

Adding to 313480 its reverse (84313), we get a palindrome (397793).

It can be divided in two parts, 31 and 3480, that multiplied together give a triangular number (107880 = T₄₆₄).

The spelling of 313480 in words is "three hundred thirteen thousand, four hundred eighty".