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408479000401 is a prime number
BaseRepresentation
bin1011111000110110011…
…11101110011101010001
31110001100121022012220201
411330123033232131101
523143031111003101
6511352550335201
741340330133543
oct5743317563521
91401317265821
10408479000401
1114826482394a
12671ba95a501
132c69a193144
1415ab0317693
15a95aeaee01
hex5f1b3ee751

408479000401 has 2 divisors, whose sum is σ = 408479000402. Its totient is φ = 408479000400.

The previous prime is 408479000323. The next prime is 408479000411. The reversal of 408479000401 is 104000974804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 341540892225 + 66938108176 = 584415^2 + 258724^2 .

It is a cyclic number.

It is not a de Polignac number, because 408479000401 - 221 = 408476903249 is a prime.

It is not a weakly prime, because it can be changed into another prime (408479000411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204239500200 + 204239500201.

It is an arithmetic number, because the mean of its divisors is an integer number (204239500201).

Almost surely, 2408479000401 is an apocalyptic number.

It is an amenable number.

408479000401 is a deficient number, since it is larger than the sum of its proper divisors (1).

408479000401 is an equidigital number, since it uses as much as digits as its factorization.

408479000401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 408479000401 in words is "four hundred eight billion, four hundred seventy-nine million, four hundred one", and thus it is an aban number.