1171408400 has 120 divisors (see below), whose sum is σ = 2959018944. Its totient is φ = 444787200.

The previous prime is 1171408393. The next prime is 1171408453. The reversal of 1171408400 is 48041711.

It is a self number, because there is not a number n which added to its sum of digits gives 1171408400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1443995 + ... + 1444805.

Almost surely, 2^1171408400 is an apocalyptic number.

1171408400 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 1171408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479509472).

1171408400 is an abundant number, since it is smaller than the sum of its proper divisors (1787610544).

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

1171408400 is a wasteful number, since it uses less digits than its factorization.

1171408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 1171408400 is about 34225.8440363419. The cubic root of 1171408400 is about 1054.1508856982.

The spelling of 1171408400 in words is "one billion, one hundred seventy-one million, four hundred eight thousand, four hundred".