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505467460 = 225177120939
BaseRepresentation
bin11110001000001…
…101001001000100
31022020010102000001
4132020031021010
52013344424320
6122053531044
715345255031
oct3610151104
91266112001
10505467460
1123a361203
12121343a84
138094a894
144b1ba388
152e59820a
hex1e20d244

505467460 has 48 divisors (see below), whose sum is σ = 1139806080. Its totient is φ = 187604480.

The previous prime is 505467449. The next prime is 505467463. The reversal of 505467460 is 64764505.

It is a happy number.

505467460 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (505467463) by changing a digit.

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, 13671 + ... + 34609.

It is an arithmetic number, because the mean of its divisors is an integer number (23745960).

Almost surely, 2505467460 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 505467460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569903040).

505467460 is an abundant number, since it is smaller than the sum of its proper divisors (634338620).

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

505467460 is a wasteful number, since it uses less digits than its factorization.

505467460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21036 (or 21034 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 505467460 is about 22482.6034969262. The cubic root of 505467460 is about 796.5830618622.

The spelling of 505467460 in words is "five hundred five million, four hundred sixty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1207 1420 2414 4828 6035 12070 20939 24140 41878 83756 104695 209390 355963 418780 711926 1423852 1486669 1779815 2973338 3559630 5946676 7119260 7433345 14866690 25273373 29733380 50546746 101093492 126366865 252733730 505467460