505100240 has 80 divisors (see below), whose sum is σ = 1232171136. Its totient is φ = 192192000.

The previous prime is 505100201. The next prime is 505100249. The reversal of 505100240 is 42001505.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505100249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387590 + ... + 388890.

Almost surely, 2^505100240 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 505100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616085568).

505100240 is an abundant number, since it is smaller than the sum of its proper divisors (727070896).

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

505100240 is a wasteful number, since it uses less digits than its factorization.

505100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 505100240 is about 22474.4352543062. The cubic root of 505100240 is about 796.3901103719.

Adding to 505100240 its reverse (42001505), we get a palindrome (547101745).

The spelling of 505100240 in words is "five hundred five million, one hundred thousand, two hundred forty".