117953400 has 96 divisors (see below), whose sum is σ = 370802160. Its totient is φ = 31011840.

The previous prime is 117953393. The next prime is 117953401. The reversal of 117953400 is 4359711.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117953401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42454 + ... + 45146.

Almost surely, 2^117953400 is an apocalyptic number.

117953400 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 117953400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185401080).

117953400 is an abundant number, since it is smaller than the sum of its proper divisors (252848760).

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

117953400 is a wasteful number, since it uses less digits than its factorization.

117953400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 117953400 is about 10860.6353405314. The cubic root of 117953400 is about 490.4222377429.

The spelling of 117953400 in words is "one hundred seventeen million, nine hundred fifty-three thousand, four hundred".