1004505216 has 192 divisors, whose sum is σ = 3160335360. Its totient is φ = 280811520.

The previous prime is 1004505211. The next prime is 1004505223. The reversal of 1004505216 is 6125054001.

1004505216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1004505211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603201 + ... + 604863.

It is an arithmetic number, because the mean of its divisors is an integer number (16460080).

Almost surely, 2^1004505216 is an apocalyptic number.

1004505216 is a gapful number since it is divisible by the number (16) 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 1004505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580167680).

1004505216 is an abundant number, since it is smaller than the sum of its proper divisors (2155830144).

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

1004505216 is a wasteful number, since it uses less digits than its factorization.

1004505216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1004505216 is about 31693.9302706370. The cubic root of 1004505216 is about 1001.4994890753.

Adding to 1004505216 its reverse (6125054001), we get a palindrome (7129559217).

The spelling of 1004505216 in words is "one billion, four million, five hundred five thousand, two hundred sixteen".