1003468800 has 288 divisors, whose sum is σ = 3412281600. Its totient is φ = 260014080.

The previous prime is 1003468799. The next prime is 1003468813. The reversal of 1003468800 is 88643001.

It is a happy number.

1003468800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7219131 + ... + 7219269.

It is an arithmetic number, because the mean of its divisors is an integer number (11848200).

Almost surely, 2^1003468800 is an apocalyptic number.

1003468800 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 1003468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706140800).

1003468800 is an abundant number, since it is smaller than the sum of its proper divisors (2408812800).

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

1003468800 is a wasteful number, since it uses less digits than its factorization.

1003468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1003468800 is about 31677.5756648137. The cubic root of 1003468800 is about 1001.1549322846.

The spelling of 1003468800 in words is "one billion, three million, four hundred sixty-eight thousand, eight hundred".