420241024 has 64 divisors (see below), whose sum is σ = 959811840. Its totient is φ = 179536896.

The previous prime is 420240983. The next prime is 420241039. The reversal of 420241024 is 420142024.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 420240992 and 420241010.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 414342 + ... + 415354.

It is an arithmetic number, because the mean of its divisors is an integer number (14997060).

Almost surely, 2^420241024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479905920).

420241024 is an abundant number, since it is smaller than the sum of its proper divisors (539570816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420241024 is a wasteful number, since it uses less digits than its factorization.

420241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 420241024 is about 20499.7810720017. The cubic root of 420241024 is about 749.0304651355.

Adding to 420241024 its reverse (420142024), we get a palindrome (840383048).

The spelling of 420241024 in words is "four hundred twenty million, two hundred forty-one thousand, twenty-four".