1008384400 has 120 divisors (see below), whose sum is σ = 2587780800. Its totient is φ = 376696320.

The previous prime is 1008384383. The next prime is 1008384431. The reversal of 1008384400 is 44838001.

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, 394326 + ... + 396874.

It is an arithmetic number, because the mean of its divisors is an integer number (21564840).

Almost surely, 2^1008384400 is an apocalyptic number.

1008384400 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 1008384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293890400).

1008384400 is an abundant number, since it is smaller than the sum of its proper divisors (1579396400).

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

1008384400 is a wasteful number, since it uses less digits than its factorization.

1008384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1008384400 is about 31755.0688867148. The cubic root of 1008384400 is about 1002.7870252740.

The spelling of 1008384400 in words is "one billion, eight million, three hundred eighty-four thousand, four hundred".