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471080960 = 213573153
BaseRepresentation
bin11100000101000…
…010000000000000
31012211102101120222
4130011002000000
51431044042320
6114424522212
714450056610
oct3405020000
91184371528
10471080960
11221a05109
12111920368
137679b13c
14467c8a40
152b554825
hex1c142000

471080960 has 224 divisors, whose sum is σ = 1358871552. Its totient is φ = 153354240.

The previous prime is 471080947. The next prime is 471080969. The reversal of 471080960 is 69080174.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 471080960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471080969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8888294 + ... + 8888346.

Almost surely, 2471080960 is an apocalyptic number.

471080960 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 471080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679435776).

471080960 is an abundant number, since it is smaller than the sum of its proper divisors (887790592).

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

471080960 is an equidigital number, since it uses as much as digits as its factorization.

471080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 471080960 is about 21704.3995540075. The cubic root of 471080960 is about 778.0936131058.

The spelling of 471080960 in words is "four hundred seventy-one million, eighty thousand, nine hundred sixty".