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494746560 = 263257112397
BaseRepresentation
bin11101011111010…
…011101111000000
31021110221201200200
4131133103233000
52003123342220
6121032045200
715155163540
oct3537235700
91243851620
10494746560
112342a9460
12119833800
137b665b59
14499c9320
152d67b890
hex1d7d3bc0

494746560 has 672 divisors, whose sum is σ = 2236695552. Its totient is φ = 97320960.

The previous prime is 494746547. The next prime is 494746579. The reversal of 494746560 is 65647494.

494746560 is a `hidden beast` number, since 4 + 9 + 47 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5100432 + ... + 5100528.

It is an arithmetic number, because the mean of its divisors is an integer number (3328416).

Almost surely, 2494746560 is an apocalyptic number.

494746560 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 494746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118347776).

494746560 is an abundant number, since it is smaller than the sum of its proper divisors (1741948992).

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

494746560 is a wasteful number, since it uses less digits than its factorization.

494746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 494746560 is about 22242.8990916202. The cubic root of 494746560 is about 790.9109611169.

The spelling of 494746560 in words is "four hundred ninety-four million, seven hundred forty-six thousand, five hundred sixty".