309420 has 60 divisors (see below), whose sum is σ = 975744. Its totient is φ = 82080.

The previous prime is 309403. The next prime is 309433. The reversal of 309420 is 24903.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 309393 and 309402.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1525 + ... + 1715.

2³⁰⁹⁴²⁰ is an apocalyptic number.

309420 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 309420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487872).

309420 is an abundant number, since it is smaller than the sum of its proper divisors (666324).

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

309420 is a wasteful number, since it uses less digits than its factorization.

309420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 309420 is about 556.2553370530. The cubic root of 309420 is about 67.6367597650.

It can be divided in two parts, 309 and 420, that added together give a 6-th power (729 = 3⁶).

The spelling of 309420 in words is "three hundred nine thousand, four hundred twenty".