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490360 = 235132341
BaseRepresentation
bin1110111101101111000
3220220122111
41313231320
5111142420
614302104
74111423
oct1675570
9826574
10490360
11305462
121b7934
13142270
14ca9ba
159a45a
hex77b78

490360 has 64 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 168960.

The previous prime is 490339. The next prime is 490367. The reversal of 490360 is 63094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11940 + ... + 11980.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2490360 is an apocalyptic number.

490360 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 490360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

490360 is an abundant number, since it is smaller than the sum of its proper divisors (779720).

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

490360 is a wasteful number, since it uses less digits than its factorization.

490360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 490360 is about 700.2570956442. The cubic root of 490360 is about 78.8566540112.

It can be divided in two parts, 490 and 360, that multiplied together give a square (176400 = 4202).

The spelling of 490360 in words is "four hundred ninety thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 41 46 52 65 82 92 104 115 130 164 184 205 230 260 299 328 410 460 520 533 598 820 920 943 1066 1196 1495 1640 1886 2132 2392 2665 2990 3772 4264 4715 5330 5980 7544 9430 10660 11960 12259 18860 21320 24518 37720 49036 61295 98072 122590 245180 490360