420983808 has 88 divisors (see below), whose sum is σ = 1282437312. Its totient is φ = 120274944.

The previous prime is 420983729. The next prime is 420983809. The reversal of 420983808 is 808389024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 420983808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420983809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11716 + ... + 31292.

Almost surely, 2^420983808 is an apocalyptic number.

420983808 is a gapful number since it is divisible by the number (48) 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 420983808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641218656).

420983808 is an abundant number, since it is smaller than the sum of its proper divisors (861453504).

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

420983808 is a wasteful number, since it uses less digits than its factorization.

420983808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19607 (or 19589 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 420983808 is about 20517.8899499924. The cubic root of 420983808 is about 749.4715139130.

The spelling of 420983808 in words is "four hundred twenty million, nine hundred eighty-three thousand, eight hundred eight".