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448488405 = 3259966409
BaseRepresentation
bin11010101110110…
…110001111010101
31011020220120102200
4122232312033111
51404303112110
6112300355113
714054042241
oct3256661725
91136816380
10448488405
11210183a82
12106245a99
1371bba971
14437c7421
15295906c0
hex1abb63d5

448488405 has 12 divisors (see below), whose sum is σ = 777379980. Its totient is φ = 239193792.

The previous prime is 448488389. The next prime is 448488449. The reversal of 448488405 is 504884844.

It can be written as a sum of positive squares in 2 ways, for example, as 282542481 + 165945924 = 16809^2 + 12882^2 .

It is not a de Polignac number, because 448488405 - 24 = 448488389 is a prime.

It is a super-2 number, since 2×4484884052 = 402283698838888050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 9966409 = 448488405 / (4 + 4 + 8 + 4 + 8 + 8 + 4 + 0 + 5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4983160 + ... + 4983249.

It is an arithmetic number, because the mean of its divisors is an integer number (64781665).

Almost surely, 2448488405 is an apocalyptic number.

448488405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

448488405 is a deficient number, since it is larger than the sum of its proper divisors (328891575).

448488405 is a wasteful number, since it uses less digits than its factorization.

448488405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9966420 (or 9966417 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 448488405 is about 21177.5448293706. The cubic root of 448488405 is about 765.4504331815.

The spelling of 448488405 in words is "four hundred forty-eight million, four hundred eighty-eight thousand, four hundred five".

Divisors: 1 3 5 9 15 45 9966409 29899227 49832045 89697681 149496135 448488405