506923420 has 72 divisors (see below), whose sum is σ = 1142926848. Its totient is φ = 188784000.

The previous prime is 506923387. The next prime is 506923423. The reversal of 506923420 is 24329605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506923423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439845 + ... + 440995.

It is an arithmetic number, because the mean of its divisors is an integer number (15873984).

Almost surely, 2^506923420 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 506923420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571463424).

506923420 is an abundant number, since it is smaller than the sum of its proper divisors (636003428).

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

506923420 is a wasteful number, since it uses less digits than its factorization.

506923420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 506923420 is about 22514.9599155761. The cubic root of 506923420 is about 797.3471606949.

The spelling of 506923420 in words is "five hundred six million, nine hundred twenty-three thousand, four hundred twenty".