1004478592 has 64 divisors (see below), whose sum is σ = 2281872600. Its totient is φ = 436322304.

The previous prime is 1004478577. The next prime is 1004478593. The reversal of 1004478592 is 2958744001.

It can be written as a sum of positive squares in 4 ways, for example, as 616230976 + 388247616 = 24824^2 + 19704^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1004478593) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10534 + ... + 46042.

Almost surely, 2^1004478592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004478592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140936300).

1004478592 is an abundant number, since it is smaller than the sum of its proper divisors (1277394008).

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

1004478592 is a wasteful number, since it uses less digits than its factorization.

1004478592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35553 (or 35541 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 1004478592 is about 31693.5102505229. The cubic root of 1004478592 is about 1001.4906408857.

The spelling of 1004478592 in words is "one billion, four million, four hundred seventy-eight thousand, five hundred ninety-two".