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448400 = 24521959
BaseRepresentation
bin1101101011110010000
3211210002102
41231132100
5103322100
613335532
73545201
oct1553620
9753072
10448400
11286987
121975a8
13129134
14b95a8
158ccd5
hex6d790

448400 has 60 divisors (see below), whose sum is σ = 1153200. Its totient is φ = 167040.

The previous prime is 448397. The next prime is 448421. The reversal of 448400 is 4844.

448400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7571 + ... + 7629.

It is an arithmetic number, because the mean of its divisors is an integer number (19220).

2448400 is an apocalyptic number.

448400 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 448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576600).

448400 is an abundant number, since it is smaller than the sum of its proper divisors (704800).

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

448400 is a wasteful number, since it uses less digits than its factorization.

448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 448400 is about 669.6267617113. The cubic root of 448400 is about 76.5400135269.

Subtracting from 448400 its reverse (4844), we obtain a square (443556 = 6662).

It can be divided in two parts, 448 and 400, that added together give a palindrome (848).

The spelling of 448400 in words is "four hundred forty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 59 76 80 95 100 118 152 190 200 236 295 304 380 400 472 475 590 760 944 950 1121 1180 1475 1520 1900 2242 2360 2950 3800 4484 4720 5605 5900 7600 8968 11210 11800 17936 22420 23600 28025 44840 56050 89680 112100 224200 448400