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494640000 = 273354229
BaseRepresentation
bin11101011110111…
…001101110000000
31021110202022112000
4131132321232000
52003111440000
6121025504000
715154241061
oct3536715600
91243668460
10494640000
11234236398
121197a2000
137b6294ba
144999c568
152d65a000
hex1d7b9b80

494640000 has 320 divisors, whose sum is σ = 1832226000. Its totient is φ = 131328000.

The previous prime is 494639987. The next prime is 494640019. The reversal of 494640000 is 46494.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2159886 + ... + 2160114.

Almost surely, 2494640000 is an apocalyptic number.

494640000 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 494640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916113000).

494640000 is an abundant number, since it is smaller than the sum of its proper divisors (1337586000).

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

494640000 is an equidigital number, since it uses as much as digits as its factorization.

494640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 494640000 is about 22240.5035914208. The cubic root of 494640000 is about 790.8541741136.

Adding to 494640000 its reverse (46494), we get a palindrome (494686494).

The spelling of 494640000 in words is "four hundred ninety-four million, six hundred forty thousand".