505713672 has 64 divisors (see below), whose sum is σ = 1417953600. Its totient is φ = 166988160.

The previous prime is 505713653. The next prime is 505713697. The reversal of 505713672 is 276317505.

505713672 is a `hidden beast` number, since 50 + 571 + 36 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12172 + ... + 34052.

It is an arithmetic number, because the mean of its divisors is an integer number (22155525).

Almost surely, 2^505713672 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 505713672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708976800).

505713672 is an abundant number, since it is smaller than the sum of its proper divisors (912239928).

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

505713672 is a wasteful number, since it uses less digits than its factorization.

505713672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22003 (or 21993 counting only the distinct ones).

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

The square root of 505713672 is about 22488.0784416988. The cubic root of 505713672 is about 796.7123787740.

The spelling of 505713672 in words is "five hundred five million, seven hundred thirteen thousand, six hundred seventy-two".