420824384 has 56 divisors (see below), whose sum is σ = 870069888. Its totient is φ = 201761280.

The previous prime is 420824381. The next prime is 420824401. The reversal of 420824384 is 483428024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420824381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166877 + ... + 169379.

Almost surely, 2^420824384 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 420824384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435034944).

420824384 is an abundant number, since it is smaller than the sum of its proper divisors (449245504).

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

420824384 is a wasteful number, since it uses less digits than its factorization.

420824384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The square root of 420824384 is about 20514.0045822360. The cubic root of 420824384 is about 749.3768952047.

The spelling of 420824384 in words is "four hundred twenty million, eight hundred twenty-four thousand, three hundred eighty-four".