420223024 has 80 divisors (see below), whose sum is σ = 899879904. Its totient is φ = 188928000.

The previous prime is 420223009. The next prime is 420223031. The reversal of 420223024 is 420322024.

It is a junction number, because it is equal to n+sod(n) for n = 420222992 and 420223010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1743544 + ... + 1743784.

Almost surely, 2^420223024 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 420223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449939952).

420223024 is an abundant number, since it is smaller than the sum of its proper divisors (479656880).

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

420223024 is a wasteful number, since it uses less digits than its factorization.

420223024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 420223024 is about 20499.3420382216. The cubic root of 420223024 is about 749.0197706847.

Adding to 420223024 its reverse (420322024), we get a palindrome (840545048).

The spelling of 420223024 in words is "four hundred twenty million, two hundred twenty-three thousand, twenty-four".