415401353 has 2 divisors, whose sum is σ = 415401354. Its totient is φ = 415401352.

The previous prime is 415401269. The next prime is 415401373. The reversal of 415401353 is 353104514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 410143504 + 5257849 = 20252^2 + 2293^2 .

It is a cyclic number.

It is not a de Polignac number, because 415401353 - 2¹⁰ = 415400329 is a prime.

It is not a weakly prime, because it can be changed into another prime (415401373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207700676 + 207700677.

It is an arithmetic number, because the mean of its divisors is an integer number (207700677).

Almost surely, 2^415401353 is an apocalyptic number.

It is an amenable number.

415401353 is a deficient number, since it is larger than the sum of its proper divisors (1).

415401353 is an equidigital number, since it uses as much as digits as its factorization.

415401353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 415401353 is about 20381.3972288457. The cubic root of 415401353 is about 746.1439734628.

Adding to 415401353 its reverse (353104514), we get a palindrome (768505867).

The spelling of 415401353 in words is "four hundred fifteen million, four hundred one thousand, three hundred fifty-three".