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449999960 = 235291093559
BaseRepresentation
bin11010110100100…
…111010001011000
31011100202100220012
4122310213101120
51410144444320
6112353021052
714102636144
oct3264472130
91140670805
10449999960
112110166a3
12106854788
13722c9987
1443a9c224
152978d4c5
hex1ad27458

449999960 has 64 divisors (see below), whose sum is σ = 1057320000. Its totient is φ = 172150272.

The previous prime is 449999947. The next prime is 449999981. The reversal of 449999960 is 69999944.

It is a self number, because there is not a number n which added to its sum of digits gives 449999960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124661 + ... + 128219.

It is an arithmetic number, because the mean of its divisors is an integer number (16520625).

Almost surely, 2449999960 is an apocalyptic number.

449999960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449999960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528660000).

449999960 is an abundant number, since it is smaller than the sum of its proper divisors (607320040).

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

449999960 is a wasteful number, since it uses less digits than its factorization.

449999960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 59.

The square root of 449999960 is about 21213.2024927874. The cubic root of 449999960 is about 766.3094096881.

The spelling of 449999960 in words is "four hundred forty-nine million, nine hundred ninety-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 109 116 145 218 232 290 436 545 580 872 1090 1160 2180 3161 3559 4360 6322 7118 12644 14236 15805 17795 25288 28472 31610 35590 63220 71180 103211 126440 142360 206422 387931 412844 516055 775862 825688 1032110 1551724 1939655 2064220 3103448 3879310 4128440 7758620 11249999 15517240 22499998 44999996 56249995 89999992 112499990 224999980 449999960