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423468405 = 345612281
BaseRepresentation
bin11001001111011…
…001110101110101
31002111211102110000
4121033121311311
51331401442110
6110004221513
713331264523
oct3117316565
91074742400
10423468405
111a8045098
12b999a899
136996a629
1440353313
152729c1c0
hex193d9d75

423468405 has 60 divisors (see below), whose sum is σ = 774501156. Its totient is φ = 221356800.

The previous prime is 423468389. The next prime is 423468421. The reversal of 423468405 is 504864324.

It is an interprime number because it is at equal distance from previous prime (423468389) and next prime (423468421).

It can be written as a sum of positive squares in 6 ways, for example, as 129208689 + 294259716 = 11367^2 + 17154^2 .

It is not a de Polignac number, because 423468405 - 24 = 423468389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 423468405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1506865 + ... + 1507145.

Almost surely, 2423468405 is an apocalyptic number.

423468405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

423468405 is a deficient number, since it is larger than the sum of its proper divisors (351032751).

423468405 is an equidigital number, since it uses as much as digits as its factorization.

423468405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 423468405 is about 20578.3479657625. The cubic root of 423468405 is about 750.9430537026.

The spelling of 423468405 in words is "four hundred twenty-three million, four hundred sixty-eight thousand, four hundred five".

Divisors: 1 3 5 9 15 27 45 61 81 135 183 281 305 405 549 843 915 1405 1647 2529 2745 3721 4215 4941 7587 8235 11163 12645 17141 18605 22761 24705 33489 37935 51423 55815 85705 100467 113805 154269 167445 257115 301401 462807 502335 771345 1045601 1388421 1507005 2314035 3136803 5228005 6942105 9410409 15684015 28231227 47052045 84693681 141156135 423468405