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450450660 = 2235113172153
BaseRepresentation
bin11010110110010…
…101010011100100
31011101121021010210
4122312111103210
51410303410120
6112410415420
714106524142
oct3266252344
91141537123
10450450660
112112a4280
12106a31570
1372426b6a
1443b78592
152982bce0
hex1ad954e4

450450660 has 96 divisors (see below), whose sum is σ = 1380903552. Its totient is φ = 108805120.

The previous prime is 450450643. The next prime is 450450673. The reversal of 450450660 is 66054054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208144 + ... + 210296.

It is an arithmetic number, because the mean of its divisors is an integer number (14384412).

Almost surely, 2450450660 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 450450660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690451776).

450450660 is an abundant number, since it is smaller than the sum of its proper divisors (930452892).

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

450450660 is a wasteful number, since it uses less digits than its factorization.

450450660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 450450660 is about 21223.8229355599. The cubic root of 450450660 is about 766.5651581632.

The spelling of 450450660 in words is "four hundred fifty million, four hundred fifty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 317 330 634 660 951 1268 1585 1902 2153 3170 3487 3804 4306 4755 6340 6459 6974 8612 9510 10461 10765 12918 13948 17435 19020 20922 21530 23683 25836 32295 34870 41844 43060 47366 52305 64590 69740 71049 94732 104610 118415 129180 142098 209220 236830 284196 355245 473660 682501 710490 1365002 1420980 2047503 2730004 3412505 4095006 6825010 7507511 8190012 10237515 13650020 15015022 20475030 22522533 30030044 37537555 40950060 45045066 75075110 90090132 112612665 150150220 225225330 450450660