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449863680 = 213357523
BaseRepresentation
bin11010110100000…
…110000000000000
31011100111102221210
4122310012000000
51410131114210
6112350050120
714101530630
oct3264060000
91140442853
10449863680
11210a33272
121067a9940
137227c936
1443a646c0
1529762e20
hex1ad06000

449863680 has 224 divisors, whose sum is σ = 1648260864. Its totient is φ = 102629376.

The previous prime is 449863679. The next prime is 449863699. The reversal of 449863680 is 86368944.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 859899 + ... + 860421.

Almost surely, 2449863680 is an apocalyptic number.

449863680 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 449863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824130432).

449863680 is an abundant number, since it is smaller than the sum of its proper divisors (1198397184).

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

449863680 is an equidigital number, since it uses as much as digits as its factorization.

449863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 449863680 is about 21209.9900990076. The cubic root of 449863680 is about 766.2320443550.

The spelling of 449863680 in words is "four hundred forty-nine million, eight hundred sixty-three thousand, six hundred eighty".