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485440 = 2653741
BaseRepresentation
bin1110110100001000000
3220122220021
41312201000
5111013230
614223224
74061164
oct1664100
9818807
10485440
1130179a
121b4b14
1313cc57
14c8ca4
1598c7a
hex76840

485440 has 56 divisors (see below), whose sum is σ = 1216152. Its totient is φ = 184320.

The previous prime is 485437. The next prime is 485447. The reversal of 485440 is 44584.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 451584 = 184^2 + 672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11820 + ... + 11860.

It is an arithmetic number, because the mean of its divisors is an integer number (21717).

2485440 is an apocalyptic number.

485440 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 485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608076).

485440 is an abundant number, since it is smaller than the sum of its proper divisors (730712).

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

485440 is a wasteful number, since it uses less digits than its factorization.

485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 485440 is about 696.7352438337. The cubic root of 485440 is about 78.5920323770.

The spelling of 485440 in words is "four hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 41 64 74 80 82 148 160 164 185 205 296 320 328 370 410 592 656 740 820 1184 1312 1480 1517 1640 2368 2624 2960 3034 3280 5920 6068 6560 7585 11840 12136 13120 15170 24272 30340 48544 60680 97088 121360 242720 485440