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470880468 = 223257722669
BaseRepresentation
bin11100000100010…
…001000011010100
31012211001012120100
4130010101003110
51431021133333
6114420334100
714445263232
oct3404210324
91184035510
10470880468
11221888513
12111844330
137672aac6
1446775952
152b515213
hex1c1110d4

470880468 has 36 divisors (see below), whose sum is σ = 1192396660. Its totient is φ = 156681216.

The previous prime is 470880457. The next prime is 470880469. The reversal of 470880468 is 864088074.

It can be written as a sum of positive squares in 2 ways, for example, as 463196484 + 7683984 = 21522^2 + 2772^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470880469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9438 + ... + 32106.

Almost surely, 2470880468 is an apocalyptic number.

It is an amenable number.

470880468 is an abundant number, since it is smaller than the sum of its proper divisors (721516192).

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

470880468 is a wasteful number, since it uses less digits than its factorization.

470880468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23256 (or 23251 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 470880468 is about 21699.7803675521. The cubic root of 470880468 is about 777.9832119260.

The spelling of 470880468 in words is "four hundred seventy million, eight hundred eighty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 577 1154 1731 2308 3462 5193 6924 10386 20772 22669 45338 68007 90676 136014 204021 272028 408042 816084 13080013 26160026 39240039 52320052 78480078 117720117 156960156 235440234 470880468