419825961 has 12 divisors (see below), whose sum is σ = 608356788. Its totient is φ = 278987904.

The previous prime is 419825947. The next prime is 419825977. The reversal of 419825961 is 169528914.

It can be written as a sum of positive squares in 2 ways, for example, as 34292736 + 385533225 = 5856^2 + 19635^2 .

It is not a de Polignac number, because 419825961 - 2¹¹ = 419823913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (419823961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71700 + ... + 77333.

It is an arithmetic number, because the mean of its divisors is an integer number (50696399).

Almost surely, 2^419825961 is an apocalyptic number.

It is an amenable number.

419825961 is a deficient number, since it is larger than the sum of its proper divisors (188530827).

419825961 is a wasteful number, since it uses less digits than its factorization.

419825961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149352 (or 149349 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 419825961 is about 20489.6549751332. The cubic root of 419825961 is about 748.7837834893.

The spelling of 419825961 in words is "four hundred nineteen million, eight hundred twenty-five thousand, nine hundred sixty-one".