420232000 has 56 divisors (see below), whose sum is σ = 1040724360. Its totient is φ = 168089600.

The previous prime is 420231997. The next prime is 420232003. The reversal of 420232000 is 232024.

It is an interprime number because it is at equal distance from previous prime (420231997) and next prime (420232003).

It can be written as a sum of positive squares in 4 ways, for example, as 104530176 + 315701824 = 10224^2 + 17768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420232003) 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 7 ways as a sum of consecutive naturals, for example, 18265 + ... + 34264.

Almost surely, 2^420232000 is an apocalyptic number.

420232000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420232000 is an abundant number, since it is smaller than the sum of its proper divisors (620492360).

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

420232000 is an equidigital number, since it uses as much as digits as its factorization.

420232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52556 (or 52536 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 420232000 is about 20499.5609709086. The cubic root of 420232000 is about 749.0251036890.

Adding to 420232000 its reverse (232024), we get a palindrome (420464024).

It can be divided in two parts, 4 and 20232000, that added together give a square (20232004 = 4498²).

The spelling of 420232000 in words is "four hundred twenty million, two hundred thirty-two thousand".