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490464576 = 263271031181
BaseRepresentation
bin11101001110111…
…110010101000000
31021011220011220200
4131032332111000
52001024331301
6120400205200
715103610610
oct3516762500
91234804820
10490464576
11231944328
12118309800
137a7c6b34
14491d2a40
152d0d2c86
hex1d3be540

490464576 has 168 divisors, whose sum is σ = 1623633024. Its totient is φ = 138654720.

The previous prime is 490464551. The next prime is 490464577. The reversal of 490464576 is 675464094.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490464577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414706 + ... + 415886.

Almost surely, 2490464576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490464576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811816512).

490464576 is an abundant number, since it is smaller than the sum of its proper divisors (1133168448).

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

490464576 is a wasteful number, since it uses less digits than its factorization.

490464576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 490464576 is about 22146.4348372373. The cubic root of 490464576 is about 788.6225936736.

The spelling of 490464576 in words is "four hundred ninety million, four hundred sixty-four thousand, five hundred seventy-six".