420110000 has 100 divisors (see below), whose sum is σ = 1041847752. Its totient is φ = 163968000.

The previous prime is 420109999. The next prime is 420110003. The reversal of 420110000 is 11024.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 420110000.

It is not an unprimeable number, because it can be changed into a prime (420110003) 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 19 ways as a sum of consecutive naturals, for example, 429512 + ... + 430488.

Almost surely, 2^420110000 is an apocalyptic number.

420110000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520923876).

420110000 is an abundant number, since it is smaller than the sum of its proper divisors (621737752).

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

420110000 is an equidigital number, since it uses as much as digits as its factorization.

420110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 420110000 is about 20496.5850814227. The cubic root of 420110000 is about 748.9526120596.

Adding to 420110000 its reverse (11024), we get a palindrome (420121024).

The spelling of 420110000 in words is "four hundred twenty million, one hundred ten thousand".