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494574080 = 29571113193
BaseRepresentation
bin11101011110101…
…001101000000000
31021110121222002112
4131132221220000
52003102332310
6121024234452
715153544640
oct3536515000
91243558075
10494574080
112341a0910
1211976ba28
137b6054b0
1449982520
152d645705
hex1d7a9a00

494574080 has 320 divisors, whose sum is σ = 1600397568. Its totient is φ = 141557760.

The previous prime is 494574077. The next prime is 494574097. The reversal of 494574080 is 80475494.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2562464 + ... + 2562656.

Almost surely, 2494574080 is an apocalyptic number.

494574080 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 494574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800198784).

494574080 is an abundant number, since it is smaller than the sum of its proper divisors (1105823488).

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

494574080 is a wasteful number, since it uses less digits than its factorization.

494574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 494574080 is about 22239.0215612108. The cubic root of 494574080 is about 790.8190405328.

The spelling of 494574080 in words is "four hundred ninety-four million, five hundred seventy-four thousand, eighty".