420365441 has 8 divisors (see below), whose sum is σ = 423305064. Its totient is φ = 417432960.

The previous prime is 420365417. The next prime is 420365447. The reversal of 420365441 is 144563024.

It can be written as a sum of positive squares in 4 ways, for example, as 32433025 + 387932416 = 5695^2 + 19696^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 420365441 - 2¹⁸ = 420103297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420365447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171275 + ... + 173711.

It is an arithmetic number, because the mean of its divisors is an integer number (52913133).

Almost surely, 2^420365441 is an apocalyptic number.

It is an amenable number.

420365441 is a deficient number, since it is larger than the sum of its proper divisors (2939623).

420365441 is a wasteful number, since it uses less digits than its factorization.

420365441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571.

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 420365441 is about 20502.8154408120. The cubic root of 420365441 is about 749.1043774245.

The spelling of 420365441 in words is "four hundred twenty million, three hundred sixty-five thousand, four hundred forty-one".