420383616 has 128 divisors (see below), whose sum is σ = 1200303360. Its totient is φ = 129884160.

The previous prime is 420383611. The next prime is 420383647. The reversal of 420383616 is 616383024.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420383611) 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 15 ways as a sum of consecutive naturals, for example, 463035 + ... + 463941.

It is an arithmetic number, because the mean of its divisors is an integer number (9377370).

Almost surely, 2^420383616 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 420383616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600151680).

420383616 is an abundant number, since it is smaller than the sum of its proper divisors (779919744).

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

420383616 is a wasteful number, since it uses less digits than its factorization.

420383616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 420383616 is about 20503.2586678313. The cubic root of 420383616 is about 749.1151734086.

It can be divided in two parts, 42038 and 3616, that added together give a palindrome (45654).

The spelling of 420383616 in words is "four hundred twenty million, three hundred eighty-three thousand, six hundred sixteen".