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484760640 = 263571331179
BaseRepresentation
bin11100111001001…
…101110001000000
31020210011101120210
4130321031301000
51443044320030
6120034034120
715004253220
oct3471156100
91223141523
10484760640
112296a8931
12116418940
137957a820
144854a080
152c857bb0
hex1ce4dc40

484760640 has 448 divisors, whose sum is σ = 1966325760. Its totient is φ = 98426880.

The previous prime is 484760599. The next prime is 484760641. The reversal of 484760640 is 46067484.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (484760641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2708071 + ... + 2708249.

It is an arithmetic number, because the mean of its divisors is an integer number (4389120).

Almost surely, 2484760640 is an apocalyptic number.

484760640 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 484760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983162880).

484760640 is an abundant number, since it is smaller than the sum of its proper divisors (1481565120).

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

484760640 is a wasteful number, since it uses less digits than its factorization.

484760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 484760640 is about 22017.2804860182. The cubic root of 484760640 is about 785.5535279454.

The spelling of 484760640 in words is "four hundred eighty-four million, seven hundred sixty thousand, six hundred forty".