1004466816 has 192 divisors, whose sum is σ = 2982306600. Its totient is φ = 324403200.

The previous prime is 1004466773. The next prime is 1004466817. The reversal of 1004466816 is 6186644001.

It can be written as a sum of positive squares in 4 ways, for example, as 921729600 + 82737216 = 30360^2 + 9096^2 .

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 (36).

It is not an unprimeable number, because it can be changed into a prime (1004466817) 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 23 ways as a sum of consecutive naturals, for example, 9945166 + ... + 9945266.

Almost surely, 2^1004466816 is an apocalyptic number.

1004466816 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 1004466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491153300).

1004466816 is an abundant number, since it is smaller than the sum of its proper divisors (1977839784).

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

1004466816 is a wasteful number, since it uses less digits than its factorization.

1004466816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1004466816 is about 31693.3244706200. The cubic root of 1004466816 is about 1001.4867272135.

The spelling of 1004466816 in words is "one billion, four million, four hundred sixty-six thousand, eight hundred sixteen".