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494908960 = 255713191789
BaseRepresentation
bin11101011111111…
…011011000100000
31021111020222110111
4131133323120200
52003144041320
6121035341104
715156441160
oct3537733040
91244228414
10494908960
112343aa477
121198b1794
137b6c1a50
1449a2c5a0
152d6aea5a
hex1d7fb620

494908960 has 192 divisors, whose sum is σ = 1515628800. Its totient is φ = 148303872.

The previous prime is 494908951. The next prime is 494909021. The reversal of 494908960 is 69809494.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275746 + ... + 277534.

It is an arithmetic number, because the mean of its divisors is an integer number (7893900).

Almost surely, 2494908960 is an apocalyptic number.

494908960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757814400).

494908960 is an abundant number, since it is smaller than the sum of its proper divisors (1020719840).

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

494908960 is a wasteful number, since it uses less digits than its factorization.

494908960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The square root of 494908960 is about 22246.5493953557. The cubic root of 494908960 is about 790.9974901934.

The spelling of 494908960 in words is "four hundred ninety-four million, nine hundred eight thousand, nine hundred sixty".