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506470460 = 225171978401
BaseRepresentation
bin11110001100000…
…010000000111100
31022022000100212012
4132030002000330
52014124023320
6122131230352
715356633156
oct3614020074
91268010765
10506470460
1123a986831
121217483b8
1380c0c282
144b39bad6
152e6e54c5
hex1e30203c

506470460 has 48 divisors (see below), whose sum is σ = 1185438240. Its totient is φ = 180633600.

The previous prime is 506470451. The next prime is 506470463. The reversal of 506470460 is 64074605.

It is a super-2 number, since 2×5064704602 = 513024653705223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506470463) 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, 32741 + ... + 45660.

It is an arithmetic number, because the mean of its divisors is an integer number (24696630).

Almost surely, 2506470460 is an apocalyptic number.

It is an amenable number.

506470460 is an abundant number, since it is smaller than the sum of its proper divisors (678967780).

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

506470460 is a wasteful number, since it uses less digits than its factorization.

506470460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78446 (or 78444 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 506470460 is about 22504.8985778652. The cubic root of 506470460 is about 797.1096008176.

The spelling of 506470460 in words is "five hundred six million, four hundred seventy thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 3230 6460 78401 156802 313604 392005 784010 1332817 1489619 1568020 2665634 2979238 5331268 5958476 6664085 7448095 13328170 14896190 25323523 26656340 29792380 50647046 101294092 126617615 253235230 506470460