306420 has 24 divisors (see below), whose sum is σ = 858144. Its totient is φ = 81696.

The previous prime is 306419. The next prime is 306421. The reversal of 306420 is 24603.

It is an interprime number because it is at equal distance from previous prime (306419) and next prime (306421).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 306420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306421) 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, 2494 + ... + 2613.

It is an arithmetic number, because the mean of its divisors is an integer number (35756).

2³⁰⁶⁴²⁰ is an apocalyptic number.

306420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

306420 is an abundant number, since it is smaller than the sum of its proper divisors (551724).

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

306420 is a wasteful number, since it uses less digits than its factorization.

306420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 306420 is about 553.5521655635. The cubic root of 306420 is about 67.4174574027.

The spelling of 306420 in words is "three hundred six thousand, four hundred twenty".