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460488681 = 322323112
BaseRepresentation
bin11011011100100…
…111111111101001
31012002111020201100
4123130213333221
51420341114211
6113405512013
714261042412
oct3334477751
91162436640
10460488681
11216a2aa64
1210a272609
137452cb13
144522c809
152a661156
hex1b727fe9

460488681 has 27 divisors (see below), whose sum is σ = 697570237. Its totient is φ = 292700760.

The previous prime is 460488661. The next prime is 460488683. The reversal of 460488681 is 186884064.

The square root of 460488681 is 21459.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 460488681 - 29 = 460488169 is a prime.

It is a super-2 number, since 2×4604886812 = 424099650658239522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460488683) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1480516 + ... + 1480826.

Almost surely, 2460488681 is an apocalyptic number.

460488681 is the 21459-th square number.

460488681 is the 10730-th centered octagonal number.

It is an amenable number.

460488681 is a deficient number, since it is larger than the sum of its proper divisors (237081556).

460488681 is an equidigital number, since it uses as much as digits as its factorization.

460488681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The cubic root of 460488681 is about 772.2175245218.

The spelling of 460488681 in words is "four hundred sixty million, four hundred eighty-eight thousand, six hundred eighty-one".

Divisors: 1 3 9 23 69 207 311 529 933 1587 2799 4761 7153 21459 64377 96721 164519 290163 493557 870489 1480671 2224583 6673749 20021247 51165409 153496227 460488681