1004493312 has 200 divisors, whose sum is σ = 3061401156. Its totient is φ = 327794688.

The previous prime is 1004493299. The next prime is 1004493319. The reversal of 1004493312 is 2133944001.

It can be written as a sum of positive squares in 2 ways, for example, as 905769216 + 98724096 = 30096^2 + 9936^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1004493319) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2197788 + ... + 2198244.

Almost surely, 2^1004493312 is an apocalyptic number.

1004493312 is a gapful number since it is divisible by the number (12) 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 1004493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530700578).

1004493312 is an abundant number, since it is smaller than the sum of its proper divisors (2056907844).

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

1004493312 is an frugal number, since it uses more digits than its factorization.

1004493312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1004493312 is about 31693.7424738701. The cubic root of 1004493312 is about 1001.4955329329.

The spelling of 1004493312 in words is "one billion, four million, four hundred ninety-three thousand, three hundred twelve".