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448491960 = 2332571719229
BaseRepresentation
bin11010101110110…
…111000110111000
31011020220202022100
4122232313012320
51404303220320
6112300423400
714054055510
oct3256670670
91136822270
10448491960
11210186714
12106247b60
1371bbc477
14437c8840
1529591790
hex1abb71b8

448491960 has 576 divisors, whose sum is σ = 1925726400. Its totient is φ = 88252416.

The previous prime is 448491959. The next prime is 448491961. The reversal of 448491960 is 69194844.

It is an interprime number because it is at equal distance from previous prime (448491959) and next prime (448491961).

It is a super-2 number, since 2×4484919602 = 402290076369283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448491961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15465226 + ... + 15465254.

It is an arithmetic number, because the mean of its divisors is an integer number (3343275).

Almost surely, 2448491960 is an apocalyptic number.

448491960 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 448491960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962863200).

448491960 is an abundant number, since it is smaller than the sum of its proper divisors (1477234440).

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

448491960 is a wasteful number, since it uses less digits than its factorization.

448491960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 448491960 is about 21177.6287624465. The cubic root of 448491960 is about 765.4524556560.

The spelling of 448491960 in words is "four hundred forty-eight million, four hundred ninety-one thousand, nine hundred sixty".