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405404420 = 22553382457
BaseRepresentation
bin11000001010011…
…111101100000100
31001020211200022112
4120022133230010
51312240420140
6104121120152
713021611041
oct3012375404
91036750275
10405404420
11198927383
12b3929058
1365cb4495
143bbb01c8
15258cec65
hex1829fb04

405404420 has 24 divisors (see below), whose sum is σ = 867414744. Its totient is φ = 159101696.

The previous prime is 405404401. The next prime is 405404429. The reversal of 405404420 is 24404504.

It can be written as a sum of positive squares in 4 ways, for example, as 12334144 + 393070276 = 3512^2 + 19826^2 .

It is not an unprimeable number, because it can be changed into a prime (405404429) 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 7 ways as a sum of consecutive naturals, for example, 190169 + ... + 192288.

It is an arithmetic number, because the mean of its divisors is an integer number (36142281).

Almost surely, 2405404420 is an apocalyptic number.

It is an amenable number.

405404420 is an abundant number, since it is smaller than the sum of its proper divisors (462010324).

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

405404420 is a wasteful number, since it uses less digits than its factorization.

405404420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382519 (or 382517 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 405404420 is about 20134.6571860561. The cubic root of 405404420 is about 740.1098083943.

Adding to 405404420 its reverse (24404504), we get a palindrome (429808924).

The spelling of 405404420 in words is "four hundred five million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 382457 764914 1529828 1912285 3824570 7649140 20270221 40540442 81080884 101351105 202702210 405404420