1004234020 has 48 divisors (see below), whose sum is σ = 2169825840. Its totient is φ = 390127104.

The previous prime is 1004234003. The next prime is 1004234029. The reversal of 1004234020 is 204324001.

It can be written as a sum of positive squares in 8 ways, for example, as 12236004 + 991998016 = 3498^2 + 31496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1004233985 and 1004234003.

It is not an unprimeable number, because it can be changed into a prime (1004234029) 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, 612642 + ... + 614278.

It is an arithmetic number, because the mean of its divisors is an integer number (45204705).

Almost surely, 2^1004234020 is an apocalyptic number.

1004234020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004234020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084912920).

1004234020 is an abundant number, since it is smaller than the sum of its proper divisors (1165591820).

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

1004234020 is a wasteful number, since it uses less digits than its factorization.

1004234020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1004234020 is about 31689.6516232034. The cubic root of 1004234020 is about 1001.4093527916.

Adding to 1004234020 its reverse (204324001), we get a palindrome (1208558021).

The spelling of 1004234020 in words is "one billion, four million, two hundred thirty-four thousand, twenty".