420224120 has 32 divisors (see below), whose sum is σ = 961009920. Its totient is φ = 165333120.

The previous prime is 420224117. The next prime is 420224131. The reversal of 420224120 is 21422024.

It is a happy number.

It is a super-2 number, since 2×420224120² = 353176622059548800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83672 + ... + 88551.

It is an arithmetic number, because the mean of its divisors is an integer number (30031560).

Almost surely, 2^420224120 is an apocalyptic number.

420224120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420224120 is an abundant number, since it is smaller than the sum of its proper divisors (540785800).

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

420224120 is a wasteful number, since it uses less digits than its factorization.

420224120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172295 (or 172291 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 420224120 is about 20499.3687707695. The cubic root of 420224120 is about 749.0204218667.

Adding to 420224120 its reverse (21422024), we get a palindrome (441646144).

The spelling of 420224120 in words is "four hundred twenty million, two hundred twenty-four thousand, one hundred twenty".