1008400 has 30 divisors (see below), whose sum is σ = 2423642. Its totient is φ = 403200.

The previous prime is 1008379. The next prime is 1008401. The reversal of 1008400 is 48001.

It can be written as a sum of positive squares in 3 ways, for example, as 16384 + 992016 = 128^2 + 996^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1008401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 861 + ... + 1660.

2^1008400 is an apocalyptic number.

1008400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008400 is an abundant number, since it is smaller than the sum of its proper divisors (1415242).

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

1008400 is a wasteful number, since it uses less digits than its factorization.

1008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1008400 is about 1004.1912168507. The cubic root of 1008400 is about 100.2792196383.

The spelling of 1008400 in words is "one million, eight thousand, four hundred".