420921441 has 48 divisors (see below), whose sum is σ = 660860928. Its totient is φ = 267397200.

The previous prime is 420921437. The next prime is 420921463. The reversal of 420921441 is 144129024.

It is a happy number.

It is not a de Polignac number, because 420921441 - 2² = 420921437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (420921491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534450 + ... + 535236.

It is an arithmetic number, because the mean of its divisors is an integer number (13767936).

Almost surely, 2^420921441 is an apocalyptic number.

It is an amenable number.

420921441 is a deficient number, since it is larger than the sum of its proper divisors (239939487).

420921441 is an equidigital number, since it uses as much as digits as its factorization.

420921441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 420921441 is about 20516.3700736753. The cubic root of 420921441 is about 749.4345017228.

The spelling of 420921441 in words is "four hundred twenty million, nine hundred twenty-one thousand, four hundred forty-one".