1171490400 has 324 divisors, whose sum is σ = 4396054572. Its totient is φ = 293498880.

The previous prime is 1171490399. The next prime is 1171490401. The reversal of 1171490400 is 40941711.

1171490400 is a `hidden beast` number, since 1 + 171 + 4 + 90 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1171490399) and next prime (1171490401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1171490401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2080519 + ... + 2081081.

Almost surely, 2^1171490400 is an apocalyptic number.

1171490400 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 1171490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198027286).

1171490400 is an abundant number, since it is smaller than the sum of its proper divisors (3224564172).

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

1171490400 is a wasteful number, since it uses less digits than its factorization.

1171490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1171490400 is about 34227.0419405475. The cubic root of 1171490400 is about 1054.1754824018.

The spelling of 1171490400 in words is "one billion, one hundred seventy-one million, four hundred ninety thousand, four hundred".