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483396480 = 27325719631
BaseRepresentation
bin11100110100000…
…000101110000000
31020200121002022100
4130310000232000
51442222141410
6115544510400
714656542120
oct3464005600
91220532270
10483396480
11228956a26
12115a7b400
13791c0928
14482b2c80
152c6888c0
hex1cd00b80

483396480 has 384 divisors, whose sum is σ = 2011276800. Its totient is φ = 104509440.

The previous prime is 483396449. The next prime is 483396503. The reversal of 483396480 is 84693384.

483396480 is a `hidden beast` number, since 4 + 83 + 3 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765765 + ... + 766395.

It is an arithmetic number, because the mean of its divisors is an integer number (5237700).

Almost surely, 2483396480 is an apocalyptic number.

483396480 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 483396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005638400).

483396480 is an abundant number, since it is smaller than the sum of its proper divisors (1527880320).

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

483396480 is a wasteful number, since it uses less digits than its factorization.

483396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 483396480 is about 21986.2793578177. The cubic root of 483396480 is about 784.8159629157.

The spelling of 483396480 in words is "four hundred eighty-three million, three hundred ninety-six thousand, four hundred eighty".