419520241 has 32 divisors (see below), whose sum is σ = 515966976. Its totient is φ = 333504000.

The previous prime is 419520239. The next prime is 419520259. The reversal of 419520241 is 142025914.

It is a 3-Lehmer number, since φ(419520241) divides (419520241-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 419520241 - 2¹ = 419520239 is a prime.

It is a deceptive number, since it divides R_419520240.

It is not an unprimeable number, because it can be changed into a prime (419520841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542331 + ... + 543103.

It is an arithmetic number, because the mean of its divisors is an integer number (16123968).

It is a Poulet number, since it divides 2^419520240-1.

Almost surely, 2^419520241 is an apocalyptic number.

419520241 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

419520241 is a deficient number, since it is larger than the sum of its proper divisors (96446735).

419520241 is a wasteful number, since it uses less digits than its factorization.

419520241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 419520241 is about 20482.1932663472. The cubic root of 419520241 is about 748.6019829428.

The spelling of 419520241 in words is "four hundred nineteen million, five hundred twenty thousand, two hundred forty-one".