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480803460 = 22358013391
BaseRepresentation
bin11100101010000…
…111101010000100
31020111201100100120
4130222013222010
51441041202320
6115413141540
714625522234
oct3452075204
91214640316
10480803460
11227445835
1211502a8b0
13787c35b7
1447bd9cc4
152c325440
hex1ca87a84

480803460 has 24 divisors (see below), whose sum is σ = 1346249856. Its totient is φ = 128214240.

The previous prime is 480803443. The next prime is 480803461. The reversal of 480803460 is 64308084.

It is a super-3 number, since 3×4808034603 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480803461) 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 7 ways as a sum of consecutive naturals, for example, 4006636 + ... + 4006755.

It is an arithmetic number, because the mean of its divisors is an integer number (56093744).

Almost surely, 2480803460 is an apocalyptic number.

It is an amenable number.

480803460 is an abundant number, since it is smaller than the sum of its proper divisors (865446396).

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

480803460 is a wasteful number, since it uses less digits than its factorization.

480803460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8013403 (or 8013401 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 480803460 is about 21927.2310153380. The cubic root of 480803460 is about 783.4101513117.

The spelling of 480803460 in words is "four hundred eighty million, eight hundred three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 8013391 16026782 24040173 32053564 40066955 48080346 80133910 96160692 120200865 160267820 240401730 480803460