505200410232 has 128 divisors (see below), whose sum is σ = 1451062978560. Its totient is φ = 143580902400.

The previous prime is 505200410191. The next prime is 505200410233. The reversal of 505200410232 is 232014002505.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505200410233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43169982 + ... + 43181682.

It is an arithmetic number, because the mean of its divisors is an integer number (11336429520).

Almost surely, 2^505200410232 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 505200410232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725531489280).

505200410232 is an abundant number, since it is smaller than the sum of its proper divisors (945862568328).

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

505200410232 is a wasteful number, since it uses less digits than its factorization.

505200410232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13053 (or 13049 counting only the distinct ones).

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

Adding to 505200410232 its reverse (232014002505), we get a palindrome (737214412737).

The spelling of 505200410232 in words is "five hundred five billion, two hundred million, four hundred ten thousand, two hundred thirty-two".