420404304 has 80 divisors (see below), whose sum is σ = 1139605632. Its totient is φ = 133292544.

The previous prime is 420404293. The next prime is 420404371. The reversal of 420404304 is 403404024.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 216522 + ... + 218454.

Almost surely, 2^420404304 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 420404304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569802816).

420404304 is an abundant number, since it is smaller than the sum of its proper divisors (719201328).

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

420404304 is a wasteful number, since it uses less digits than its factorization.

420404304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 420404304 is about 20503.7631667945. The cubic root of 420404304 is about 749.1274617407.

Adding to 420404304 its reverse (403404024), we get a palindrome (823808328).

The spelling of 420404304 in words is "four hundred twenty million, four hundred four thousand, three hundred four".