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486700456 = 231161711277
BaseRepresentation
bin11101000000100…
…111010110101000
31020220210221111211
4131000213112220
51444043403311
6120143402504
715026612524
oct3500472650
91226727454
10486700456
1122a803290
12116bb3434
1379aa9748
14488d2d84
152cadc821
hex1d0275a8

486700456 has 64 divisors (see below), whose sum is σ = 1026898560. Its totient is φ = 214368000.

The previous prime is 486700453. The next prime is 486700457. The reversal of 486700456 is 654007684.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (486700451) 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 15 ways as a sum of consecutive naturals, for example, 380490 + ... + 381766.

It is an arithmetic number, because the mean of its divisors is an integer number (16045290).

Almost surely, 2486700456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486700456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513449280).

486700456 is an abundant number, since it is smaller than the sum of its proper divisors (540198104).

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

486700456 is a wasteful number, since it uses less digits than its factorization.

486700456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 486700456 is about 22061.2886296336. The cubic root of 486700456 is about 786.5999558802.

The spelling of 486700456 in words is "four hundred eighty-six million, seven hundred thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 61 71 88 122 142 244 284 488 568 671 781 1277 1342 1562 2554 2684 3124 4331 5108 5368 6248 8662 10216 14047 17324 28094 34648 47641 56188 77897 90667 95282 112376 155794 181334 190564 311588 362668 381128 623176 725336 856867 997337 1713734 1994674 3427468 3989348 5530687 6854936 7978696 11061374 22122748 44245496 60837557 121675114 243350228 486700456