506502420 has 96 divisors (see below), whose sum is σ = 1505952000. Its totient is φ = 126756864.

The previous prime is 506502407. The next prime is 506502439. The reversal of 506502420 is 24205605.

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 31 ways as a sum of consecutive naturals, for example, 610566 + ... + 611394.

It is an arithmetic number, because the mean of its divisors is an integer number (15687000).

Almost surely, 2^506502420 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 506502420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752976000).

506502420 is an abundant number, since it is smaller than the sum of its proper divisors (999449580).

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

506502420 is a wasteful number, since it uses less digits than its factorization.

506502420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 506502420 is about 22505.6086342938. The cubic root of 506502420 is about 797.1263672360.

The spelling of 506502420 in words is "five hundred six million, five hundred two thousand, four hundred twenty".