434577601 has 2 divisors, whose sum is σ = 434577602. Its totient is φ = 434577600.

The previous prime is 434577599. The next prime is 434577631. The reversal of 434577601 is 106775434.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 403206400 + 31371201 = 20080^2 + 5601^2 .

It is a cyclic number.

It is not a de Polignac number, because 434577601 - 2¹ = 434577599 is a prime.

Together with 434577599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (434577631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 217288800 + 217288801.

It is an arithmetic number, because the mean of its divisors is an integer number (217288801).

Almost surely, 2^434577601 is an apocalyptic number.

434577601 is the 13185-th centered pentagonal number.

It is an amenable number.

434577601 is a deficient number, since it is larger than the sum of its proper divisors (1).

434577601 is an equidigital number, since it uses as much as digits as its factorization.

434577601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 434577601 is about 20846.5249142393. The cubic root of 434577601 is about 757.4531558712.

The spelling of 434577601 in words is "four hundred thirty-four million, five hundred seventy-seven thousand, six hundred one".