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464000505 = 35231379817
BaseRepresentation
bin11011101010000…
…001010111111001
31012100002200000220
4123222001113321
51422241004010
6114013050253
714332640103
oct3352012771
91170080026
10464000505
11218a094a1
1210b486989
137518c417
14458a4573
152ab06970
hex1ba815f9

464000505 has 32 divisors (see below), whose sum is σ = 780413184. Its totient is φ = 234955776.

The previous prime is 464000491. The next prime is 464000507. The reversal of 464000505 is 505000464.

It is not a de Polignac number, because 464000505 - 24 = 464000489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (464000507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42357 + ... + 52173.

It is an arithmetic number, because the mean of its divisors is an integer number (24387912).

Almost surely, 2464000505 is an apocalyptic number.

It is an amenable number.

464000505 is a deficient number, since it is larger than the sum of its proper divisors (316412679).

464000505 is a wasteful number, since it uses less digits than its factorization.

464000505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9985.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 464000505 is about 21540.6709505530. The cubic root of 464000505 is about 774.1756089865.

Adding to 464000505 its reverse (505000464), we get a palindrome (969000969).

The spelling of 464000505 in words is "four hundred sixty-four million, five hundred five", and thus it is an aban number.

Divisors: 1 3 5 15 23 69 115 137 345 411 685 2055 3151 9453 9817 15755 29451 47265 49085 147255 225791 677373 1128955 1344929 3386865 4034787 6724645 20173935 30933367 92800101 154666835 464000505