311490 has 24 divisors (see below), whose sum is σ = 810108. Its totient is φ = 83040.

The previous prime is 311473. The next prime is 311533. The reversal of 311490 is 94113.

311490 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 294849 + 16641 = 543^2 + 129^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311490.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1641 + ... + 1820.

2³¹¹⁴⁹⁰ is an apocalyptic number.

311490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311490 is an abundant number, since it is smaller than the sum of its proper divisors (498618).

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

311490 is a wasteful number, since it uses less digits than its factorization.

311490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 311490 is about 558.1128918059. The cubic root of 311490 is about 67.7872531966.

It can be divided in two parts, 31 and 1490, that added together give a square (1521 = 39²).

The spelling of 311490 in words is "three hundred eleven thousand, four hundred ninety".