420450336 has 72 divisors (see below), whose sum is σ = 1198259244. Its totient is φ = 139845120.

The previous prime is 420450319. The next prime is 420450347. The reversal of 420450336 is 633054024.

It can be written as a sum of positive squares in 2 ways, for example, as 418611600 + 1838736 = 20460^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159106 + ... + 161726.

Almost surely, 2^420450336 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 420450336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599129622).

420450336 is an abundant number, since it is smaller than the sum of its proper divisors (777808908).

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

420450336 is a wasteful number, since it uses less digits than its factorization.

420450336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 420450336 is about 20504.8856617149. The cubic root of 420450336 is about 749.1548025461.

The spelling of 420450336 in words is "four hundred twenty million, four hundred fifty thousand, three hundred thirty-six".