420886336 has 56 divisors (see below), whose sum is σ = 914297384. Its totient is φ = 191047680.

The previous prime is 420886327. The next prime is 420886343. The reversal of 420886336 is 633688024.

It can be written as a sum of positive squares in 4 ways, for example, as 26625600 + 394260736 = 5160^2 + 19856^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46606 + ... + 54898.

It is an arithmetic number, because the mean of its divisors is an integer number (16326739).

Almost surely, 2^420886336 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 420886336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457148692).

420886336 is an abundant number, since it is smaller than the sum of its proper divisors (493411048).

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

420886336 is a wasteful number, since it uses less digits than its factorization.

420886336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8379 (or 8369 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 420886336 is about 20515.5145195045. The cubic root of 420886336 is about 749.4136667743.

The spelling of 420886336 in words is "four hundred twenty million, eight hundred eighty-six thousand, three hundred thirty-six".