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495480465 = 32511010677
BaseRepresentation
bin11101100010000…
…110111010010001
31021112100000102100
4131202012322101
52003320333330
6121055511013
715164341314
oct3542067221
91245300370
10495480465
1123475a897
12119b28469
137b861c0c
1449b3a97b
152d774060
hex1d886e91

495480465 has 12 divisors (see below), whose sum is σ = 858832884. Its totient is φ = 264256224.

The previous prime is 495480463. The next prime is 495480481. The reversal of 495480465 is 564084594.

495480465 is a `hidden beast` number, since 49 + 548 + 0 + 4 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 250620561 + 244859904 = 15831^2 + 15648^2 .

It is not a de Polignac number, because 495480465 - 21 = 495480463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 11010677 = 495480465 / (4 + 9 + 5 + 4 + 8 + 0 + 4 + 6 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 495480465.

It is not an unprimeable number, because it can be changed into a prime (495480463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5505294 + ... + 5505383.

It is an arithmetic number, because the mean of its divisors is an integer number (71569407).

Almost surely, 2495480465 is an apocalyptic number.

495480465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

495480465 is a deficient number, since it is larger than the sum of its proper divisors (363352419).

495480465 is a wasteful number, since it uses less digits than its factorization.

495480465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11010688 (or 11010685 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 495480465 is about 22259.3904903077. The cubic root of 495480465 is about 791.3018459173.

The spelling of 495480465 in words is "four hundred ninety-five million, four hundred eighty thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 11010677 33032031 55053385 99096093 165160155 495480465