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494041680 = 243451129239
BaseRepresentation
bin11101011100100…
…111101001010000
31021102121220210000
4131130213221100
52002433313210
6121005010000
715146166516
oct3534475120
91242556700
10494041680
11233967910
12119553900
137b47a072
14498844b6
152d58cac0
hex1d727a50

494041680 has 400 divisors, whose sum is σ = 1944518400. Its totient is φ = 115153920.

The previous prime is 494041631. The next prime is 494041693. The reversal of 494041680 is 86140494.

It is a happy number.

494041680 is a `hidden beast` number, since 494 + 0 + 4 + 168 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2067001 + ... + 2067239.

It is an arithmetic number, because the mean of its divisors is an integer number (4861296).

Almost surely, 2494041680 is an apocalyptic number.

494041680 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 494041680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972259200).

494041680 is an abundant number, since it is smaller than the sum of its proper divisors (1450476720).

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

494041680 is a wasteful number, since it uses less digits than its factorization.

494041680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 494041680 is about 22227.0483870441. The cubic root of 494041680 is about 790.5351712115.

The spelling of 494041680 in words is "four hundred ninety-four million, forty-one thousand, six hundred eighty".