1001473600 has 168 divisors, whose sum is σ = 2593254656. Its totient is φ = 380160000.

The previous prime is 1001473591. The next prime is 1001473607. The reversal of 1001473600 is 63741001.

1001473600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1001473607) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3025435 + ... + 3025765.

Almost surely, 2^1001473600 is an apocalyptic number.

1001473600 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 1001473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296627328).

1001473600 is an abundant number, since it is smaller than the sum of its proper divisors (1591781056).

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

1001473600 is a wasteful number, since it uses less digits than its factorization.

1001473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 1001473600 is about 31646.0676862071. The cubic root of 1001473600 is about 1000.4909589199.

The spelling of 1001473600 in words is "one billion, one million, four hundred seventy-three thousand, six hundred".