30420 has 54 divisors (see below), whose sum is σ = 99918. Its totient is φ = 7488.

The previous prime is 30403. The next prime is 30427. The reversal of 30420 is 2403.

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 30276 = 12^2 + 174^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30420.

It is not an unprimeable number, because it can be changed into a prime (30427) by changing a digit.

30420 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 17 ways as a sum of consecutive naturals, for example, 2334 + ... + 2346.

2³⁰⁴²⁰ is an apocalyptic number.

30420 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 30420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49959).

30420 is an abundant number, since it is smaller than the sum of its proper divisors (69498).

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

30420 is a wasteful number, since it uses less digits than its factorization.

30420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 30420 is about 174.4133022450. The cubic root of 30420 is about 31.2166577715.

Adding to 30420 its reverse (2403), we get a palindrome (32823).

It can be divided in two parts, 304 and 20, that added together give a square (324 = 18²).

The spelling of 30420 in words is "thirty thousand, four hundred twenty".