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494605440 = 2734572947
BaseRepresentation
bin11101011110110…
…001010010000000
31021110200120010000
4131132301102000
52003104333230
6121025040000
715154035240
oct3536612200
91243616100
10494605440
1123421242a
12119786000
137b616854
144998db20
152d64eb60
hex1d7b1480

494605440 has 640 divisors, whose sum is σ = 2132697600. Its totient is φ = 106831872.

The previous prime is 494605439. The next prime is 494605459. The reversal of 494605440 is 44506494.

494605440 is a `hidden beast` number, since 4 + 9 + 4 + 605 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 494605395 and 494605404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10523497 + ... + 10523543.

It is an arithmetic number, because the mean of its divisors is an integer number (3332340).

Almost surely, 2494605440 is an apocalyptic number.

494605440 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 494605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066348800).

494605440 is an abundant number, since it is smaller than the sum of its proper divisors (1638092160).

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

494605440 is a wasteful number, since it uses less digits than its factorization.

494605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 494605440 is about 22239.7266170248. The cubic root of 494605440 is about 790.8357549557.

The spelling of 494605440 in words is "four hundred ninety-four million, six hundred five thousand, four hundred forty".