420028224 has 112 divisors (see below), whose sum is σ = 1385596416. Its totient is φ = 109094400.

The previous prime is 420028201. The next prime is 420028229. The reversal of 420028224 is 422820024.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 420028194 and 420028203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420028229) 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, 579 + ... + 28989.

Almost surely, 2^420028224 is an apocalyptic number.

420028224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420028224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692798208).

420028224 is an abundant number, since it is smaller than the sum of its proper divisors (965568192).

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

420028224 is a wasteful number, since it uses less digits than its factorization.

420028224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28444 (or 28434 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 420028224 is about 20494.5901154427. The cubic root of 420028224 is about 748.9040134203.

Adding to 420028224 its reverse (422820024), we get a palindrome (842848248).

The spelling of 420028224 in words is "four hundred twenty million, twenty-eight thousand, two hundred twenty-four".