313488 has 60 divisors (see below), whose sum is σ = 1005888. Its totient is φ = 89280.

The previous prime is 313477. The next prime is 313507. The reversal of 313488 is 884313.

It is a super-2 number, since 2×313488² = 196549452288, which contains 22 as substring.

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

It is an unprimeable number.

313488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 853 + ... + 1163.

2³¹³⁴⁸⁸ 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 313488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502944).

313488 is an abundant number, since it is smaller than the sum of its proper divisors (692400).

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

313488 is a wasteful number, since it uses less digits than its factorization.

313488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 323 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 313488 is about 559.8999910698. The cubic root of 313488 is about 67.9318810349.

The spelling of 313488 in words is "three hundred thirteen thousand, four hundred eighty-eight".