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484204320 = 25325336253
BaseRepresentation
bin11100110111000…
…101111100100000
31020202010010110100
4130313011330200
51442424014240
6120014102400
714666445255
oct3467057440
91222103410
10484204320
11229358966
121161aaa00
1379414542
144844342c
152c797e30
hex1cdc5f20

484204320 has 72 divisors (see below), whose sum is σ = 1652352156. Its totient is φ = 129120768.

The previous prime is 484204289. The next prime is 484204333. The reversal of 484204320 is 23402484.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 426505104 + 57699216 = 20652^2 + 7596^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166687 + ... + 169566.

Almost surely, 2484204320 is an apocalyptic number.

484204320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

484204320 is an abundant number, since it is smaller than the sum of its proper divisors (1168147836).

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

484204320 is a wasteful number, since it uses less digits than its factorization.

484204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336274 (or 336263 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 484204320 is about 22004.6431463907. The cubic root of 484204320 is about 785.2529078137.

The spelling of 484204320 in words is "four hundred eighty-four million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 336253 672506 1008759 1345012 1681265 2017518 2690024 3026277 3362530 4035036 5043795 5380048 6052554 6725060 8070072 10087590 10760096 12105108 13450120 15131385 16140144 20175180 24210216 26900240 30262770 32280288 40350360 48420432 53800480 60525540 80700720 96840864 121051080 161401440 242102160 484204320