505242738 has 192 divisors, whose sum is σ = 1517875200. Its totient is φ = 120968640.

The previous prime is 505242721. The next prime is 505242739. The reversal of 505242738 is 837242505.

It is not an unprimeable number, because it can be changed into a prime (505242739) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 702343 + ... + 703061.

It is an arithmetic number, because the mean of its divisors is an integer number (7905600).

Almost surely, 2^505242738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505242738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758937600).

505242738 is an abundant number, since it is smaller than the sum of its proper divisors (1012632462).

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

505242738 is a wasteful number, since it uses less digits than its factorization.

505242738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 505242738 is about 22477.6052550088. The cubic root of 505242738 is about 796.4649953938.

The spelling of 505242738 in words is "five hundred five million, two hundred forty-two thousand, seven hundred thirty-eight".