420016032 has 72 divisors (see below), whose sum is σ = 1212303456. Its totient is φ = 137909376.

The previous prime is 420016031. The next prime is 420016063. The reversal of 420016032 is 230610024.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420015996 and 420016014.

It is not an unprimeable number, because it can be changed into a prime (420016031) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8413 + ... + 30179.

It is an arithmetic number, because the mean of its divisors is an integer number (16837548).

Almost surely, 2^420016032 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 420016032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606151728).

420016032 is an abundant number, since it is smaller than the sum of its proper divisors (792287424).

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

420016032 is a wasteful number, since it uses less digits than its factorization.

420016032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21850 (or 21839 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 420016032 is about 20494.2926689359. The cubic root of 420016032 is about 748.8967672992.

Adding to 420016032 its reverse (230610024), we get a palindrome (650626056).

The spelling of 420016032 in words is "four hundred twenty million, sixteen thousand, thirty-two".