420441000 has 128 divisors (see below), whose sum is σ = 1499247360. Its totient is φ = 96096000.

The previous prime is 420440983. The next prime is 420441029. The reversal of 420441000 is 144024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10990 + ... + 31010.

It is an arithmetic number, because the mean of its divisors is an integer number (11712870).

Almost surely, 2^420441000 is an apocalyptic number.

420441000 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 420441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749623680).

420441000 is an abundant number, since it is smaller than the sum of its proper divisors (1078806360).

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

420441000 is a wasteful number, since it uses less digits than its factorization.

420441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20052 (or 20038 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 420441000 is about 20504.6580073894. The cubic root of 420441000 is about 749.1492575702.

Adding to 420441000 its reverse (144024), we get a palindrome (420585024).

The spelling of 420441000 in words is "four hundred twenty million, four hundred forty-one thousand".