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449440 = 255532
BaseRepresentation
bin1101101101110100000
3211211111221
41231232200
5103340230
613344424
73551215
oct1555640
9754457
10449440
11287742
12198114
13129754
14b9b0c
158d27a
hex6dba0

449440 has 36 divisors (see below), whose sum is σ = 1082214. Its totient is φ = 176384.

The previous prime is 449437. The next prime is 449441. The reversal of 449440 is 44944.

449440 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 425104 + 24336 = 652^2 + 156^2 .

It is not an unprimeable number, because it can be changed into a prime (449441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8454 + ... + 8506.

2449440 is an apocalyptic number.

449440 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 449440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541107).

449440 is an abundant number, since it is smaller than the sum of its proper divisors (632774).

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

449440 is an equidigital number, since it uses as much as digits as its factorization.

449440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 449440 is about 670.4028639557. The cubic root of 449440 is about 76.5991423937.

Subtracting from 449440 its reverse (44944), we obtain a square (404496 = 6362).

The spelling of 449440 in words is "four hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 2809 4240 5618 8480 11236 14045 22472 28090 44944 56180 89888 112360 224720 449440