1117481400 has 768 divisors, whose sum is σ = 4885401600. Its totient is φ = 228925440.

The previous prime is 1117481369. The next prime is 1117481411. The reversal of 1117481400 is 41847111.

1117481400 is a `hidden beast` number, since 11 + 174 + 81 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23776177 + ... + 23776223.

It is an arithmetic number, because the mean of its divisors is an integer number (6361200).

Almost surely, 2^1117481400 is an apocalyptic number.

1117481400 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 1117481400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442700800).

1117481400 is an abundant number, since it is smaller than the sum of its proper divisors (3767920200).

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

1117481400 is a wasteful number, since it uses less digits than its factorization.

1117481400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1117481400 is about 33428.7510984183. The cubic root of 1117481400 is about 1037.7197947260.

The spelling of 1117481400 in words is "one billion, one hundred seventeen million, four hundred eighty-one thousand, four hundred".