505610672 has 80 divisors (see below), whose sum is σ = 1200994560. Its totient is φ = 201367296.

The previous prime is 505610669. The next prime is 505610681. The reversal of 505610672 is 276016505.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110543 + ... + 115025.

It is an arithmetic number, because the mean of its divisors is an integer number (15012432).

Almost surely, 2^505610672 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 505610672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600497280).

505610672 is an abundant number, since it is smaller than the sum of its proper divisors (695383888).

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

505610672 is a wasteful number, since it uses less digits than its factorization.

505610672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 505610672 is about 22485.7882227864. The cubic root of 505610672 is about 796.6582856172.

The spelling of 505610672 in words is "five hundred five million, six hundred ten thousand, six hundred seventy-two".