420431424 has 112 divisors (see below), whose sum is σ = 1312444416. Its totient is φ = 116236800.

The previous prime is 420431423. The next prime is 420431503. The reversal of 420431424 is 424134024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 420431394 and 420431403.

It is not an unprimeable number, because it can be changed into a prime (420431423) 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 15 ways as a sum of consecutive naturals, for example, 36619 + ... + 46709.

Almost surely, 2^420431424 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 420431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656222208).

420431424 is an abundant number, since it is smaller than the sum of its proper divisors (892012992).

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

420431424 is a wasteful number, since it uses less digits than its factorization.

420431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10144 (or 10134 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 420431424 is about 20504.4244981419. The cubic root of 420431424 is about 749.1435699646.

Adding to 420431424 its reverse (424134024), we get a palindrome (844565448).

The spelling of 420431424 in words is "four hundred twenty million, four hundred thirty-one thousand, four hundred twenty-four".