509846401 has 2 divisors, whose sum is σ = 509846402. Its totient is φ = 509846400.

The previous prime is 509846387. The next prime is 509846417. The reversal of 509846401 is 104648905.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308915776 + 200930625 = 17576^2 + 14175^2 .

It is a cyclic number.

It is not a de Polignac number, because 509846401 - 2¹¹ = 509844353 is a prime.

It is a super-2 number, since 2×509846401² = 519886705225305602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (509816401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254923200 + 254923201.

It is an arithmetic number, because the mean of its divisors is an integer number (254923201).

Almost surely, 2^509846401 is an apocalyptic number.

It is an amenable number.

509846401 is a deficient number, since it is larger than the sum of its proper divisors (1).

509846401 is an equidigital number, since it uses as much as digits as its factorization.

509846401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 509846401 is about 22579.7785861598. The cubic root of 509846401 is about 798.8767575001.

The spelling of 509846401 in words is "five hundred nine million, eight hundred forty-six thousand, four hundred one".