420432100 has 72 divisors (see below), whose sum is σ = 1053870048. Its totient is φ = 143884800.

The previous prime is 420432079. The next prime is 420432107. The reversal of 420432100 is 1234024.

It is not an unprimeable number, because it can be changed into a prime (420432107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7459 + ... + 29941.

It is an arithmetic number, because the mean of its divisors is an integer number (14637084).

Almost surely, 2^420432100 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 420432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526935024).

420432100 is an abundant number, since it is smaller than the sum of its proper divisors (633437948).

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

420432100 is a wasteful number, since it uses less digits than its factorization.

420432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22525 (or 22518 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 420432100 is about 20504.4409823823. The cubic root of 420432100 is about 749.1439714734.

Adding to 420432100 its reverse (1234024), we get a palindrome (421666124).

The spelling of 420432100 in words is "four hundred twenty million, four hundred thirty-two thousand, one hundred".