505216140 has 288 divisors, whose sum is σ = 1722990528. Its totient is φ = 109824000.

The previous prime is 505216121. The next prime is 505216157. The reversal of 505216140 is 41612505.

It is a self number, because there is not a number n which added to its sum of digits gives 505216140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5002090 + ... + 5002190.

It is an arithmetic number, because the mean of its divisors is an integer number (5982606).

Almost surely, 2^505216140 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 505216140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861495264).

505216140 is an abundant number, since it is smaller than the sum of its proper divisors (1217774388).

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

505216140 is a wasteful number, since it uses less digits than its factorization.

505216140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 505216140 is about 22477.0135916674. The cubic root of 505216140 is about 796.4510187802.

Adding to 505216140 its reverse (41612505), we get a palindrome (546828645).

The spelling of 505216140 in words is "five hundred five million, two hundred sixteen thousand, one hundred forty".