420109812 has 72 divisors (see below), whose sum is σ = 1121649984. Its totient is φ = 132312576.

The previous prime is 420109801. The next prime is 420109819. The reversal of 420109812 is 218901024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420109819) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65668 + ... + 71780.

It is an arithmetic number, because the mean of its divisors is an integer number (15578472).

Almost surely, 2^420109812 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 420109812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560824992).

420109812 is an abundant number, since it is smaller than the sum of its proper divisors (701540172).

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

420109812 is a wasteful number, since it uses less digits than its factorization.

420109812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6229 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 420109812 is about 20496.5804952924. The cubic root of 420109812 is about 748.9525003404.

The spelling of 420109812 in words is "four hundred twenty million, one hundred nine thousand, eight hundred twelve".