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494731440 = 243257237379
BaseRepresentation
bin11101011111010…
…000000010110000
31021110220221221200
4131133100002300
52003122401230
6121031451200
715155101500
oct3537200260
91243827850
10494731440
11234299065
12119826b00
137b65bcc8
14499c3a00
152d677160
hex1d7d00b0

494731440 has 360 divisors, whose sum is σ = 1990207440. Its totient is φ = 109734912.

The previous prime is 494731429. The next prime is 494731453. The reversal of 494731440 is 44137494.

494731440 is a `hidden beast` number, since 49 + 473 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 494731395 and 494731404.

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 71 ways as a sum of consecutive naturals, for example, 1305171 + ... + 1305549.

It is an arithmetic number, because the mean of its divisors is an integer number (5528354).

Almost surely, 2494731440 is an apocalyptic number.

494731440 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 494731440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995103720).

494731440 is an abundant number, since it is smaller than the sum of its proper divisors (1495476000).

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

494731440 is a wasteful number, since it uses less digits than its factorization.

494731440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 494731440 is about 22242.5592052713. The cubic root of 494731440 is about 790.9029039980.

The spelling of 494731440 in words is "four hundred ninety-four million, seven hundred thirty-one thousand, four hundred forty".