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449960 = 23571607
BaseRepresentation
bin1101101110110101000
3211212020012
41231312220
5103344320
613351052
73552560
oct1556650
9755205
10449960
11288075
12198488
13129a64
14b9da0
158d4c5
hex6dda8

449960 has 32 divisors (see below), whose sum is σ = 1157760. Its totient is φ = 154176.

The previous prime is 449959. The next prime is 449963. The reversal of 449960 is 69944.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (449963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524 + ... + 1083.

It is an arithmetic number, because the mean of its divisors is an integer number (36180).

2449960 is an apocalyptic number.

449960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449960 is an abundant number, since it is smaller than the sum of its proper divisors (707800).

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

449960 is a wasteful number, since it uses less digits than its factorization.

449960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 449960 is about 670.7905783477. The cubic root of 449960 is about 76.6286726256.

The spelling of 449960 in words is "four hundred forty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1607 3214 6428 8035 11249 12856 16070 22498 32140 44996 56245 64280 89992 112490 224980 449960