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412070463 = 33717277463
BaseRepresentation
bin11000100011111…
…011001000111111
31001201101100102000
4120203323020333
51320442223323
6104520033343
713132353420
oct3043731077
91051340360
10412070463
111a166a702
12b6002853
13674a969c
143ca27647
1526299e43
hex188fb23f

412070463 has 64 divisors (see below), whose sum is σ = 742993920. Its totient is φ = 220340736.

The previous prime is 412070441. The next prime is 412070471. The reversal of 412070463 is 364070214.

It is not a de Polignac number, because 412070463 - 25 = 412070431 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412070413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 889770 + ... + 890232.

It is an arithmetic number, because the mean of its divisors is an integer number (11609280).

Almost surely, 2412070463 is an apocalyptic number.

412070463 is a deficient number, since it is larger than the sum of its proper divisors (330923457).

412070463 is a wasteful number, since it uses less digits than its factorization.

412070463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 412070463 is about 20299.5187873999. The cubic root of 412070463 is about 744.1443040854.

The spelling of 412070463 in words is "four hundred twelve million, seventy thousand, four hundred sixty-three".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 277 357 459 463 831 1071 1389 1939 2493 3213 3241 4167 4709 5817 7479 7871 9723 12501 14127 17451 23613 29169 32963 42381 52353 55097 70839 87507 98889 127143 128251 165291 212517 296667 384753 495873 890001 897757 1154259 1487619 2180267 2693271 3462777 6540801 8079813 15261869 19622403 24239439 45785607 58867209 137356821 412070463