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406160461 = 7244918461
BaseRepresentation
bin11000001101011…
…000010001001101
31001022021002102001
4120031120101031
51312434113321
6104145232301
713031210200
oct3015302115
91038232361
10406160461
111992a3403
12b4032691
13661ba645
143bd29937
15259cdc91
hex1835844d

406160461 has 12 divisors (see below), whose sum is σ = 473550300. Its totient is φ = 347343360.

The previous prime is 406160459. The next prime is 406160467. The reversal of 406160461 is 164061604.

It can be written as a sum of positive squares in 2 ways, for example, as 113955625 + 292204836 = 10675^2 + 17094^2 .

It is not a de Polignac number, because 406160461 - 21 = 406160459 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 (406160467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12771 + ... + 31231.

It is an arithmetic number, because the mean of its divisors is an integer number (39462525).

Almost surely, 2406160461 is an apocalyptic number.

It is an amenable number.

406160461 is a deficient number, since it is larger than the sum of its proper divisors (67389839).

406160461 is a wasteful number, since it uses less digits than its factorization.

406160461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18924 (or 18917 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 406160461 is about 20153.4230591232. The cubic root of 406160461 is about 740.5696010145.

The spelling of 406160461 in words is "four hundred six million, one hundred sixty thousand, four hundred sixty-one".

Divisors: 1 7 49 449 3143 18461 22001 129227 904589 8288989 58022923 406160461