117926400 has 240 divisors, whose sum is σ = 404911584. Its totient is φ = 30228480.

The previous prime is 117926377. The next prime is 117926401. The reversal of 117926400 is 4629711.

It is a happy number.

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

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

It is not an unprimeable number, because it can be changed into a prime (117926401) 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, 1420759 + ... + 1420841.

Almost surely, 2^117926400 is an apocalyptic number.

117926400 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 117926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202455792).

117926400 is an abundant number, since it is smaller than the sum of its proper divisors (286985184).

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

117926400 is an equidigital number, since it uses as much as digits as its factorization.

117926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 117926400 is about 10859.3922481877. The cubic root of 117926400 is about 490.3848150237.

The spelling of 117926400 in words is "one hundred seventeen million, nine hundred twenty-six thousand, four hundred".