505173672 has 224 divisors, whose sum is σ = 1542441600. Its totient is φ = 154524672.

The previous prime is 505173611. The next prime is 505173673. The reversal of 505173672 is 276371505.

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

It is not an unprimeable number, because it can be changed into a prime (505173673) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5207928 + ... + 5208024.

It is an arithmetic number, because the mean of its divisors is an integer number (6885900).

Almost surely, 2^505173672 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 505173672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771220800).

505173672 is an abundant number, since it is smaller than the sum of its proper divisors (1037267928).

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

505173672 is a wasteful number, since it uses less digits than its factorization.

505173672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 505173672 is about 22476.0688733595. The cubic root of 505173672 is about 796.4287018436.

The spelling of 505173672 in words is "five hundred five million, one hundred seventy-three thousand, six hundred seventy-two".