Search a number
-
+
490440 = 23356167
BaseRepresentation
bin1110111101111001000
3220220202110
41313233020
5111143230
614302320
74111566
oct1675710
9826673
10490440
11305525
121b79a0
13142302
14caa36
159a4b0
hex77bc8

490440 has 64 divisors (see below), whose sum is σ = 1517760. Its totient is φ = 126720.

The previous prime is 490421. The next prime is 490453. The reversal of 490440 is 44094.

It is a happy 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, 7287 + ... + 7353.

It is an arithmetic number, because the mean of its divisors is an integer number (23715).

2490440 is an apocalyptic number.

490440 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 490440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758880).

490440 is an abundant number, since it is smaller than the sum of its proper divisors (1027320).

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

490440 is a wasteful number, since it uses less digits than its factorization.

490440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 490440 is about 700.3142151920. The cubic root of 490440 is about 78.8609421460.

The spelling of 490440 in words is "four hundred ninety thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 67 120 122 134 183 201 244 268 305 335 366 402 488 536 610 670 732 804 915 1005 1220 1340 1464 1608 1830 2010 2440 2680 3660 4020 4087 7320 8040 8174 12261 16348 20435 24522 32696 40870 49044 61305 81740 98088 122610 163480 245220 490440