309480 has 32 divisors (see below), whose sum is σ = 928800. Its totient is φ = 82496.

The previous prime is 309479. The next prime is 309481. The reversal of 309480 is 84903.

309480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (309479) and next prime (309481).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 309480.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 309480.

It is not an unprimeable number, because it can be changed into a prime (309481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1170 + ... + 1409.

It is an arithmetic number, because the mean of its divisors is an integer number (29025).

2³⁰⁹⁴⁸⁰ is an apocalyptic number.

309480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

309480 is an abundant number, since it is smaller than the sum of its proper divisors (619320).

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

309480 is a wasteful number, since it uses less digits than its factorization.

309480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 309480 is about 556.3092665056. The cubic root of 309480 is about 67.6411313239.

The spelling of 309480 in words is "three hundred nine thousand, four hundred eighty".