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480384 = 2733139
BaseRepresentation
bin1110101010010000000
3220101222000
41311102000
5110333014
614144000
74040352
oct1652200
9811860
10480384
112a8a13
121b2000
1313a868
14c70d2
1597509
hex75480

480384 has 64 divisors (see below), whose sum is σ = 1428000. Its totient is φ = 158976.

The previous prime is 480383. The next prime is 480391. The reversal of 480384 is 483084.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (480383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3387 + ... + 3525.

2480384 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 480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714000).

480384 is an abundant number, since it is smaller than the sum of its proper divisors (947616).

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

480384 is a wasteful number, since it uses less digits than its factorization.

480384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 480384 is about 693.0973957533. The cubic root of 480384 is about 78.3182265521.

The spelling of 480384 in words is "four hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 139 144 192 216 278 288 384 417 432 556 576 834 864 1112 1152 1251 1668 1728 2224 2502 3336 3456 3753 4448 5004 6672 7506 8896 10008 13344 15012 17792 20016 26688 30024 40032 53376 60048 80064 120096 160128 240192 480384