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494097408 = 2103472337
BaseRepresentation
bin11101011100110…
…101010000000000
31021102201202020000
4131130311100000
52002442104113
6121010120000
715146521140
oct3534652000
91242652200
10494097408
112339a5772
12119580000
137b49953c
144989a920
152d59e373
hex1d735400

494097408 has 440 divisors, whose sum is σ = 1807124352. Its totient is φ = 131383296.

The previous prime is 494097407. The next prime is 494097419. The reversal of 494097408 is 804790494.

It is a super-3 number, since 3×4940974083 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494097407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13353966 + ... + 13354002.

Almost surely, 2494097408 is an apocalyptic number.

494097408 is a gapful number since it is divisible by the number (48) 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 494097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903562176).

494097408 is an abundant number, since it is smaller than the sum of its proper divisors (1313026944).

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

494097408 is a wasteful number, since it uses less digits than its factorization.

494097408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 494097408 is about 22228.3019594390. The cubic root of 494097408 is about 790.5648942689.

The spelling of 494097408 in words is "four hundred ninety-four million, ninety-seven thousand, four hundred eight".