1004410420 has 48 divisors (see below), whose sum is σ = 2314403280. Its totient is φ = 363856896.

The previous prime is 1004410403. The next prime is 1004410423. The reversal of 1004410420 is 240144001.

It can be written as a sum of positive squares in 8 ways, for example, as 8503056 + 995907364 = 2916^2 + 31558^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1004410394 and 1004410403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004410423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22665 + ... + 50224.

It is an arithmetic number, because the mean of its divisors is an integer number (48216735).

Almost surely, 2^1004410420 is an apocalyptic number.

1004410420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004410420 is an abundant number, since it is smaller than the sum of its proper divisors (1309992860).

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

1004410420 is a wasteful number, since it uses less digits than its factorization.

1004410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72964 (or 72962 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1004410420 is about 31692.4347439574. The cubic root of 1004410420 is about 1001.4679839686.

Adding to 1004410420 its reverse (240144001), we get a palindrome (1244554421).

The spelling of 1004410420 in words is "one billion, four million, four hundred ten thousand, four hundred twenty".