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494438406 = 2371119233179
BaseRepresentation
bin11101011110001…
…000100000000110
31021110101001222120
4131132020200012
52003034012111
6121021310410
715152441250
oct3536104006
91243331876
10494438406
11234108990
12119705406
137b588807
1449948cd0
152d61a406
hex1d788806

494438406 has 256 divisors, whose sum is σ = 1415577600. Its totient is φ = 111196800.

The previous prime is 494438389. The next prime is 494438479. The reversal of 494438406 is 604834494.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6258675 + ... + 6258753.

It is an arithmetic number, because the mean of its divisors is an integer number (5529600).

Almost surely, 2494438406 is an apocalyptic number.

494438406 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 494438406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707788800).

494438406 is an abundant number, since it is smaller than the sum of its proper divisors (921139194).

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

494438406 is a wasteful number, since it uses less digits than its factorization.

494438406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175.

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 494438406 is about 22235.9709929654. The cubic root of 494438406 is about 790.7467201266.

The spelling of 494438406 in words is "four hundred ninety-four million, four hundred thirty-eight thousand, four hundred six".