1008400000 has 96 divisors (see below), whose sum is σ = 2511987660. Its totient is φ = 403200000.

The previous prime is 1008399983. The next prime is 1008400021. The reversal of 1008400000 is 48001.

It can be written as a sum of positive squares in 6 ways, for example, as 451817536 + 556582464 = 21256^2 + 23592^2 .

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, 398740 + ... + 401260.

Almost surely, 2^1008400000 is an apocalyptic number.

1008400000 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 1008400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255993830).

1008400000 is an abundant number, since it is smaller than the sum of its proper divisors (1503587660).

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

1008400000 is an frugal number, since it uses more digits than its factorization.

1008400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2528 counting only the distinct ones).

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

The square root of 1008400000 is about 31755.3145158413. The cubic root of 1008400000 is about 1002.7921963830.

Adding to 1008400000 its reverse (48001), we get a palindrome (1008448001).

The spelling of 1008400000 in words is "one billion, eight million, four hundred thousand".