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480999450 = 235223913417
BaseRepresentation
bin11100101010110…
…111100000011010
31020112002022012110
4130222313200122
51441113440300
6115421253150
714630266521
oct3452674032
91215068173
10480999450
1122756a008
121151041b6
1378861879
1447c4b4b8
152c363550
hex1cab781a

480999450 has 48 divisors (see below), whose sum is σ = 1197959040. Its totient is φ = 127720320.

The previous prime is 480999443. The next prime is 480999469. The reversal of 480999450 is 54999084.

It is a super-3 number, since 3×4809994503 (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 480999450.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29142 + ... + 42558.

It is an arithmetic number, because the mean of its divisors is an integer number (24957480).

Almost surely, 2480999450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480999450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598979520).

480999450 is an abundant number, since it is smaller than the sum of its proper divisors (716959590).

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

480999450 is a wasteful number, since it uses less digits than its factorization.

480999450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13671 (or 13666 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 480999450 is about 21931.6996605370. The cubic root of 480999450 is about 783.5165840577.

The spelling of 480999450 in words is "four hundred eighty million, nine hundred ninety-nine thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 239 478 717 1195 1434 2390 3585 5975 7170 11950 13417 17925 26834 35850 40251 67085 80502 134170 201255 335425 402510 670850 1006275 2012550 3206663 6413326 9619989 16033315 19239978 32066630 48099945 80166575 96199890 160333150 240499725 480999450