420447800 has 96 divisors (see below), whose sum is σ = 1026496800. Its totient is φ = 159936000.

The previous prime is 420447799. The next prime is 420447803. The reversal of 420447800 is 8744024.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420447803) 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, 411290 + ... + 412310.

It is an arithmetic number, because the mean of its divisors is an integer number (10692675).

Almost surely, 2^420447800 is an apocalyptic number.

420447800 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 420447800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513248400).

420447800 is an abundant number, since it is smaller than the sum of its proper divisors (606049000).

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

420447800 is a wasteful number, since it uses less digits than its factorization.

420447800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 420447800 is about 20504.8238227008. The cubic root of 420447800 is about 749.1532963354.

The spelling of 420447800 in words is "four hundred twenty million, four hundred forty-seven thousand, eight hundred".