1008385440 has 48 divisors (see below), whose sum is σ = 3176415648. Its totient is φ = 268902656.

The previous prime is 1008385387. The next prime is 1008385463. The reversal of 1008385440 is 445838001.

1008385440 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1049922 + ... + 1050881.

It is an arithmetic number, because the mean of its divisors is an integer number (66175326).

Almost surely, 2^1008385440 is an apocalyptic number.

1008385440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008385440 is an abundant number, since it is smaller than the sum of its proper divisors (2168030208).

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

1008385440 is a wasteful number, since it uses less digits than its factorization.

1008385440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100821 (or 2100813 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1008385440 is about 31755.0852620490. The cubic root of 1008385440 is about 1002.7873700163.

The spelling of 1008385440 in words is "one billion, eight million, three hundred eighty-five thousand, four hundred forty".