506235420 has 120 divisors (see below), whose sum is σ = 1596683088. Its totient is φ = 134265600.

The previous prime is 506235419. The next prime is 506235427. The reversal of 506235420 is 24532605.

506235420 is a `hidden beast` number, since 5 + 0 + 6 + 235 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506235427) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 341080 + ... + 342560.

Almost surely, 2^506235420 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 506235420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798341544).

506235420 is an abundant number, since it is smaller than the sum of its proper divisors (1090447668).

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

506235420 is a wasteful number, since it uses less digits than its factorization.

506235420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 506235420 is about 22499.6759976672. The cubic root of 506235420 is about 796.9862756718.

The spelling of 506235420 in words is "five hundred six million, two hundred thirty-five thousand, four hundred twenty".