1004681472 has 72 divisors (see below), whose sum is σ = 2680861344. Its totient is φ = 334024704.

The previous prime is 1004681437. The next prime is 1004681497. The reversal of 1004681472 is 2741864001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338748 + ... + 341700.

Almost surely, 2^1004681472 is an apocalyptic number.

1004681472 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 1004681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340430672).

1004681472 is an abundant number, since it is smaller than the sum of its proper divisors (1676179872).

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

1004681472 is an equidigital number, since it uses as much as digits as its factorization.

1004681472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1004681472 is about 31696.7107441766. The cubic root of 1004681472 is about 1001.5580618492.

The spelling of 1004681472 in words is "one billion, four million, six hundred eighty-one thousand, four hundred seventy-two".