117260400 has 240 divisors, whose sum is σ = 409001600. Its totient is φ = 28615680.

The previous prime is 117260393. The next prime is 117260401. The reversal of 117260400 is 4062711.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117260401) 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 47 ways as a sum of consecutive naturals, for example, 843531 + ... + 843669.

Almost surely, 2^117260400 is an apocalyptic number.

117260400 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 117260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204500800).

117260400 is an abundant number, since it is smaller than the sum of its proper divisors (291741200).

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

117260400 is a wasteful number, since it uses less digits than its factorization.

117260400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 117260400 is about 10828.6841305858. The cubic root of 117260400 is about 489.4599074811.

The spelling of 117260400 in words is "one hundred seventeen million, two hundred sixty thousand, four hundred".