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400454405 = 51315739241
BaseRepresentation
bin10111110111100…
…111001100000101
31000220112012011122
4113313213030011
51310004020110
6103423043325
712631543361
oct2767471405
91026465148
10400454405
1119605635a
12b2140545
1364c70390
143b2822a1
1525253255
hex17de7305

400454405 has 16 divisors (see below), whose sum is σ = 520819824. Its totient is φ = 293829120.

The previous prime is 400454401. The next prime is 400454419. The reversal of 400454405 is 504454004.

It can be written as a sum of positive squares in 8 ways, for example, as 95218564 + 305235841 = 9758^2 + 17471^2 .

It is not a de Polignac number, because 400454405 - 22 = 400454401 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400454401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9416 + ... + 29825.

It is an arithmetic number, because the mean of its divisors is an integer number (32551239).

Almost surely, 2400454405 is an apocalyptic number.

It is an amenable number.

400454405 is a deficient number, since it is larger than the sum of its proper divisors (120365419).

400454405 is a wasteful number, since it uses less digits than its factorization.

400454405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39416.

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 400454405 is about 20011.3569005203. The cubic root of 400454405 is about 737.0852011984.

The spelling of 400454405 in words is "four hundred million, four hundred fifty-four thousand, four hundred five".

Divisors: 1 5 13 65 157 785 2041 10205 39241 196205 510133 2550665 6160837 30804185 80090881 400454405