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412400420 = 22553389057
BaseRepresentation
bin11000100101001…
…011101100100100
31001202000010000122
4120211023230210
51321033303140
6104531101112
713135226405
oct3045135444
91052003018
10412400420
111a18755a3
12b6141798
1367593923
143cab19ac
1526312ab5
hex1894bb24

412400420 has 24 divisors (see below), whose sum is σ = 882383544. Its totient is φ = 161847296.

The previous prime is 412400411. The next prime is 412400423. The reversal of 412400420 is 24004214.

It can be written as a sum of positive squares in 4 ways, for example, as 34175716 + 378224704 = 5846^2 + 19448^2 .

It is not an unprimeable number, because it can be changed into a prime (412400423) 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, 193469 + ... + 195588.

It is an arithmetic number, because the mean of its divisors is an integer number (36765981).

Almost surely, 2412400420 is an apocalyptic number.

It is an amenable number.

412400420 is an abundant number, since it is smaller than the sum of its proper divisors (469983124).

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

412400420 is a wasteful number, since it uses less digits than its factorization.

412400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389119 (or 389117 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 412400420 is about 20307.6443734866. The cubic root of 412400420 is about 744.3428705422.

Adding to 412400420 its reverse (24004214), we get a palindrome (436404634).

The spelling of 412400420 in words is "four hundred twelve million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 389057 778114 1556228 1945285 3890570 7781140 20620021 41240042 82480084 103100105 206200210 412400420