414913601 has 2 divisors, whose sum is σ = 414913602. Its totient is φ = 414913600.

The previous prime is 414913567. The next prime is 414913633. The reversal of 414913601 is 106319414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 361038001 + 53875600 = 19001^2 + 7340^2 .

It is a cyclic number.

It is not a de Polignac number, because 414913601 - 2¹⁰ = 414912577 is a prime.

It is not a weakly prime, because it can be changed into another prime (414913651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207456800 + 207456801.

It is an arithmetic number, because the mean of its divisors is an integer number (207456801).

Almost surely, 2^414913601 is an apocalyptic number.

It is an amenable number.

414913601 is a deficient number, since it is larger than the sum of its proper divisors (1).

414913601 is an equidigital number, since it uses as much as digits as its factorization.

414913601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 414913601 is about 20369.4280970282. The cubic root of 414913601 is about 745.8518256837.

It can be divided in two parts, 414913 and 601, that added together give a palindrome (415514).

The spelling of 414913601 in words is "four hundred fourteen million, nine hundred thirteen thousand, six hundred one".