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478480275 = 325271323369
BaseRepresentation
bin11100100001010…
…000011110010011
31020100100022112200
4130201100132103
51434442332100
6115251254243
714600005140
oct3441203623
91210308480
10478480275
112260a9349
121142aa383
137818c030
14477933c7
152c016e00
hex1c850793

478480275 has 72 divisors (see below), whose sum is σ = 1054828320. Its totient is φ = 201899520.

The previous prime is 478480271. The next prime is 478480333. The reversal of 478480275 is 572084874.

It is not a de Polignac number, because 478480275 - 22 = 478480271 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 478480275.

It is not an unprimeable number, because it can be changed into a prime (478480271) 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 71 ways as a sum of consecutive naturals, for example, 8791 + ... + 32159.

Almost surely, 2478480275 is an apocalyptic number.

478480275 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

478480275 is an abundant number, since it is smaller than the sum of its proper divisors (576348045).

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

478480275 is a wasteful number, since it uses less digits than its factorization.

478480275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23405 (or 23397 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 478480275 is about 21874.1919850768. The cubic root of 478480275 is about 782.1463320937.

The spelling of 478480275 in words is "four hundred seventy-eight million, four hundred eighty thousand, two hundred seventy-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 175 195 225 273 315 325 455 525 585 819 975 1365 1575 2275 2925 4095 6825 20475 23369 70107 116845 163583 210321 303797 350535 490749 584225 817915 911391 1051605 1472247 1518985 1752675 2126579 2453745 2734173 4089575 4556955 5258025 6379737 7361235 7594925 10632895 12268725 13670865 19139211 22784775 31898685 36806175 53164475 68354325 95696055 159493425 478480275