117958400 has 108 divisors (see below), whose sum is σ = 333801552. Its totient is φ = 40427520.

The previous prime is 117958397. The next prime is 117958411. The reversal of 117958400 is 4859711.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43484 + ... + 46116.

Almost surely, 2^117958400 is an apocalyptic number.

117958400 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 117958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166900776).

117958400 is an abundant number, since it is smaller than the sum of its proper divisors (215843152).

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

117958400 is an equidigital number, since it uses as much as digits as its factorization.

117958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 117958400 is about 10860.8655272036. The cubic root of 117958400 is about 490.4291672493.

It can be divided in two parts, 117 and 958400, that multiplied together give a triangular number (112132800 = T₁₄₉₇₅).

The spelling of 117958400 in words is "one hundred seventeen million, nine hundred fifty-eight thousand, four hundred".