420100344 has 96 divisors (see below), whose sum is σ = 1218147840. Its totient is φ = 135496800.

The previous prime is 420100337. The next prime is 420100361. The reversal of 420100344 is 443001024.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 56779 + ... + 63749.

It is an arithmetic number, because the mean of its divisors is an integer number (12689040).

Almost surely, 2^420100344 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 420100344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609073920).

420100344 is an abundant number, since it is smaller than the sum of its proper divisors (798047496).

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

420100344 is a wasteful number, since it uses less digits than its factorization.

420100344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7023 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420100344 is about 20496.3495286356. The cubic root of 420100344 is about 748.9468739261.

Adding to 420100344 its reverse (443001024), we get a palindrome (863101368).

The spelling of 420100344 in words is "four hundred twenty million, one hundred thousand, three hundred forty-four".