505831680 has 216 divisors, whose sum is σ = 1843033920. Its totient is φ = 127733760.

The previous prime is 505831679. The next prime is 505831687. The reversal of 505831680 is 86138505.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505831687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217725 + ... + 220035.

Almost surely, 2^505831680 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 505831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921516960).

505831680 is an abundant number, since it is smaller than the sum of its proper divisors (1337202240).

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

505831680 is a wasteful number, since it uses less digits than its factorization.

505831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 505831680 is about 22490.7020788592. The cubic root of 505831680 is about 796.7743447490.

The spelling of 505831680 in words is "five hundred five million, eight hundred thirty-one thousand, six hundred eighty".