1117579456 has 84 divisors (see below), whose sum is σ = 2731651128. Its totient is φ = 450766848.

The previous prime is 1117579451. The next prime is 1117579457. The reversal of 1117579456 is 6549757111.

It is not an unprimeable number, because it can be changed into a prime (1117579451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42831 + ... + 63793.

Almost surely, 2^1117579456 is an apocalyptic number.

1117579456 is a gapful number since it is divisible by the number (16) 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 1117579456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365825564).

1117579456 is an abundant number, since it is smaller than the sum of its proper divisors (1614071672).

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

1117579456 is a wasteful number, since it uses less digits than its factorization.

1117579456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21006 (or 20989 counting only the distinct ones).

The product of its digits is 264600, while the sum is 46.

The square root of 1117579456 is about 33430.2177079360. The cubic root of 1117579456 is about 1037.7501462159.

The spelling of 1117579456 in words is "one billion, one hundred seventeen million, five hundred seventy-nine thousand, four hundred fifty-six".