1004314520 has 96 divisors (see below), whose sum is σ = 2526627600. Its totient is φ = 358913280.

The previous prime is 1004314469. The next prime is 1004314529. The reversal of 1004314520 is 254134001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1004314492 and 1004314501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004314529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283802 + ... + 287318.

Almost surely, 2^1004314520 is an apocalyptic number.

1004314520 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 1004314520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263313800).

1004314520 is an abundant number, since it is smaller than the sum of its proper divisors (1522313080).

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

1004314520 is a wasteful number, since it uses less digits than its factorization.

1004314520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1004314520 is about 31690.9217284698. The cubic root of 1004314520 is about 1001.4361099343.

Adding to 1004314520 its reverse (254134001), we get a palindrome (1258448521).

The spelling of 1004314520 in words is "one billion, four million, three hundred fourteen thousand, five hundred twenty".