1004576320 has 112 divisors (see below), whose sum is σ = 2670706368. Its totient is φ = 356751360.

The previous prime is 1004576299. The next prime is 1004576323. The reversal of 1004576320 is 236754001.

It is not an unprimeable number, because it can be changed into a prime (1004576323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148042 + ... + 154678.

Almost surely, 2^1004576320 is an apocalyptic number.

1004576320 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 1004576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335353184).

1004576320 is an abundant number, since it is smaller than the sum of its proper divisors (1666130048).

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

1004576320 is a wasteful number, since it uses less digits than its factorization.

1004576320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6708 (or 6698 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 1004576320 is about 31695.0519797649. The cubic root of 1004576320 is about 1001.5231189309.

The spelling of 1004576320 in words is "one billion, four million, five hundred seventy-six thousand, three hundred twenty".