30420432 has 120 divisors (see below), whose sum is σ = 98577024. Its totient is φ = 8577792.

The previous prime is 30420431. The next prime is 30420433. The reversal of 30420432 is 23402403.

It is an interprime number because it is at equal distance from previous prime (30420431) and next prime (30420433).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30420431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103678 + ... + 103970.

Almost surely, 2^30420432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49288512).

30420432 is an abundant number, since it is smaller than the sum of its proper divisors (68156592).

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

30420432 is a wasteful number, since it uses less digits than its factorization.

30420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 30420432 is about 5515.4720559531. The cubic root of 30420432 is about 312.1680554191.

Adding to 30420432 its reverse (23402403), we get a palindrome (53822835).

It can be divided in two parts, 304 and 20432, that added together give a 4-th power (20736 = 12⁴).

The spelling of 30420432 in words is "thirty million, four hundred twenty thousand, four hundred thirty-two".