1004514120 has 144 divisors (see below), whose sum is σ = 3309600060. Its totient is φ = 264225024.

The previous prime is 1004514113. The next prime is 1004514149. The reversal of 1004514120 is 214154001.

It can be written as a sum of positive squares in 2 ways, for example, as 976062564 + 28451556 = 31242^2 + 5334^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004514093 and 1004514102.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5806354 + ... + 5806526.

Almost surely, 2^1004514120 is an apocalyptic number.

1004514120 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 1004514120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654800030).

1004514120 is an abundant number, since it is smaller than the sum of its proper divisors (2305085940).

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

1004514120 is a wasteful number, since it uses less digits than its factorization.

1004514120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1004514120 is about 31694.0707388622. The cubic root of 1004514120 is about 1001.5024481856.

Adding to 1004514120 its reverse (214154001), we get a palindrome (1218668121).

The spelling of 1004514120 in words is "one billion, four million, five hundred fourteen thousand, one hundred twenty".