1000406304 has 72 divisors (see below), whose sum is σ = 2879250192. Its totient is φ = 329443200.

The previous prime is 1000406287. The next prime is 1000406339. The reversal of 1000406304 is 4036040001.

1000406304 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2979 + ... + 44829.

It is an arithmetic number, because the mean of its divisors is an integer number (39989586).

Almost surely, 2^1000406304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000406304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439625096).

1000406304 is an abundant number, since it is smaller than the sum of its proper divisors (1878843888).

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

1000406304 is a wasteful number, since it uses less digits than its factorization.

1000406304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41950 (or 41939 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1000406304 is about 31629.2001795809. The cubic root of 1000406304 is about 1000.1354163283.

Adding to 1000406304 its reverse (4036040001), we get a palindrome (5036446305).

The spelling of 1000406304 in words is "one billion, four hundred six thousand, three hundred four".