1117408000 has 72 divisors (see below), whose sum is σ = 2783682720. Its totient is φ = 446950400.

The previous prime is 1117407983. The next prime is 1117408049. The reversal of 1117408000 is 8047111.

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, 14541 + ... + 49459.

It is an arithmetic number, because the mean of its divisors is an integer number (38662260).

Almost surely, 2^1117408000 is an apocalyptic number.

1117408000 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 1117408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391841360).

1117408000 is an abundant number, since it is smaller than the sum of its proper divisors (1666274720).

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

1117408000 is an frugal number, since it uses more digits than its factorization.

1117408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34950 (or 34926 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 1117408000 is about 33427.6532230427. The cubic root of 1117408000 is about 1037.6970739002.

The spelling of 1117408000 in words is "one billion, one hundred seventeen million, four hundred eight thousand".