117950400 has 126 divisors (see below), whose sum is σ = 419274752. Its totient is φ = 31449600.

The previous prime is 117950389. The next prime is 117950411. The reversal of 117950400 is 4059711.

It is an interprime number because it is at equal distance from previous prime (117950389) and next prime (117950411).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 10305 + ... + 18495.

Almost surely, 2^117950400 is an apocalyptic number.

117950400 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 117950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209637376).

117950400 is an abundant number, since it is smaller than the sum of its proper divisors (301324352).

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

117950400 is a wasteful number, since it uses less digits than its factorization.

117950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8219 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 117950400 is about 10860.4972261863. The cubic root of 117950400 is about 490.4180799450.

The spelling of 117950400 in words is "one hundred seventeen million, nine hundred fifty thousand, four hundred".