420869100 has 72 divisors (see below), whose sum is σ = 1247451408. Its totient is φ = 109491200.

The previous prime is 420869087. The next prime is 420869101. The reversal of 420869100 is 1968024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (420869101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4809 + ... + 29408.

It is an arithmetic number, because the mean of its divisors is an integer number (17325714).

Almost surely, 2^420869100 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 420869100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623725704).

420869100 is an abundant number, since it is smaller than the sum of its proper divisors (826582308).

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

420869100 is a wasteful number, since it uses less digits than its factorization.

420869100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34275 (or 34268 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 420869100 is about 20515.0944428730. The cubic root of 420869100 is about 749.4034367199.

The spelling of 420869100 in words is "four hundred twenty million, eight hundred sixty-nine thousand, one hundred".