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407985653 is a prime number
BaseRepresentation
bin11000010100010…
…101110111110101
31001102200211002202
4120110111313311
51313421020103
6104252314245
713052551355
oct3024256765
91042624082
10407985653
1119a32a729
12b4772985
13666a933a
143c282b65
1525c3e988
hex18515df5

407985653 has 2 divisors, whose sum is σ = 407985654. Its totient is φ = 407985652.

The previous prime is 407985631. The next prime is 407985671. The reversal of 407985653 is 356589704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250683889 + 157301764 = 15833^2 + 12542^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-407985653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 407985598 and 407985607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407985673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203992826 + 203992827.

It is an arithmetic number, because the mean of its divisors is an integer number (203992827).

Almost surely, 2407985653 is an apocalyptic number.

It is an amenable number.

407985653 is a deficient number, since it is larger than the sum of its proper divisors (1).

407985653 is an equidigital number, since it uses as much as digits as its factorization.

407985653 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 907200, while the sum is 47.

The square root of 407985653 is about 20198.6547324321. The cubic root of 407985653 is about 741.6772601497.

The spelling of 407985653 in words is "four hundred seven million, nine hundred eighty-five thousand, six hundred fifty-three".