1004744320 has 128 divisors (see below), whose sum is σ = 2577744000. Its totient is φ = 373321728.

The previous prime is 1004744309. The next prime is 1004744329. The reversal of 1004744320 is 234474001.

1004744320 = 3205² + 3206² + ... + 3299².

1004744320 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 (128).

It is a super-2 number, since 2×1004744320² = 2019022297144524800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1004744329) 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, 643701 + ... + 645259.

It is an arithmetic number, because the mean of its divisors is an integer number (20138625).

Almost surely, 2^1004744320 is an apocalyptic number.

1004744320 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 1004744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288872000).

1004744320 is an abundant number, since it is smaller than the sum of its proper divisors (1572999680).

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

1004744320 is a wasteful number, since it uses less digits than its factorization.

1004744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 1004744320 is about 31697.7021249175. The cubic root of 1004744320 is about 1001.5789456186.

The spelling of 1004744320 in words is "one billion, four million, seven hundred forty-four thousand, three hundred twenty".