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494632320 = 273571319149
BaseRepresentation
bin11101011110110…
…111110110000000
31021110201220222120
4131132313312000
52003111213240
6121025404240
715154206510
oct3536676600
91243656876
10494632320
11234230646
12119799680
137b625b60
1449999840
152d657ad0
hex1d7b7d80

494632320 has 512 divisors, whose sum is σ = 2056320000. Its totient is φ = 98205696.

The previous prime is 494632291. The next prime is 494632321. The reversal of 494632320 is 23236494.

It is a super-2 number, since 2×4946323202 = 489322263977164800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494632321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3319606 + ... + 3319754.

It is an arithmetic number, because the mean of its divisors is an integer number (4016250).

Almost surely, 2494632320 is an apocalyptic number.

494632320 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 494632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028160000).

494632320 is an abundant number, since it is smaller than the sum of its proper divisors (1561687680).

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

494632320 is a wasteful number, since it uses less digits than its factorization.

494632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 494632320 is about 22240.3309327896. The cubic root of 494632320 is about 790.8500810416.

The spelling of 494632320 in words is "four hundred ninety-four million, six hundred thirty-two thousand, three hundred twenty".