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490297440 = 25352389499
BaseRepresentation
bin11101001110010…
…101100001100000
31021011120200122110
4131032111201200
52001004004230
6120352435320
715102313413
oct3516254140
91234520573
10490297440
1123183a7a6
12118248b40
137a768a39
144918bb7a
152d09d4b0
hex1d395860

490297440 has 192 divisors, whose sum is σ = 1632960000. Its totient is φ = 123408384.

The previous prime is 490297439. The next prime is 490297447. The reversal of 490297440 is 44792094.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490297447) by changing a digit.

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, 982311 + ... + 982809.

It is an arithmetic number, because the mean of its divisors is an integer number (8505000).

Almost surely, 2490297440 is an apocalyptic number.

490297440 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 490297440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816480000).

490297440 is an abundant number, since it is smaller than the sum of its proper divisors (1142662560).

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

490297440 is a wasteful number, since it uses less digits than its factorization.

490297440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 490297440 is about 22142.6610866896. The cubic root of 490297440 is about 788.5330036487.

The spelling of 490297440 in words is "four hundred ninety million, two hundred ninety-seven thousand, four hundred forty".