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449146460 = 2257173653
BaseRepresentation
bin11010110001010…
…110111001011100
31011022011000010002
4122301112321130
51404440141320
6112322433432
714062452620
oct3261267134
91138130102
10449146460
11210593424
12106502878
137208b349
1443919180
1529670675
hex1ac56e5c

449146460 has 96 divisors (see below), whose sum is σ = 1147063680. Its totient is φ = 144712704.

The previous prime is 449146459. The next prime is 449146487. The reversal of 449146460 is 64641944.

It is a congruent number.

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, 687494 + ... + 688146.

It is an arithmetic number, because the mean of its divisors is an integer number (11948580).

Almost surely, 2449146460 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 449146460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573531840).

449146460 is an abundant number, since it is smaller than the sum of its proper divisors (697917220).

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

449146460 is a wasteful number, since it uses less digits than its factorization.

449146460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 449146460 is about 21193.0757560105. The cubic root of 449146460 is about 765.8246251863.

The spelling of 449146460 in words is "four hundred forty-nine million, one hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 289 340 476 578 595 653 1156 1190 1306 1445 2023 2380 2612 2890 3265 4046 4571 4913 5780 6530 8092 9142 9826 10115 11101 13060 18284 19652 20230 22202 22855 24565 34391 40460 44404 45710 49130 55505 68782 77707 91420 98260 111010 137564 155414 171955 188717 222020 310828 343910 377434 388535 687820 754868 777070 943585 1321019 1554140 1887170 2642038 3208189 3774340 5284076 6416378 6605095 12832756 13210190 16040945 22457323 26420380 32081890 44914646 64163780 89829292 112286615 224573230 449146460