117902400 has 504 divisors, whose sum is σ = 502676160. Its totient is φ = 23654400.

The previous prime is 117902363. The next prime is 117902401. The reversal of 117902400 is 4209711.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117902401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4065586 + ... + 4065614.

Almost surely, 2^117902400 is an apocalyptic number.

117902400 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 117902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251338080).

117902400 is an abundant number, since it is smaller than the sum of its proper divisors (384773760).

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

117902400 is a wasteful number, since it uses less digits than its factorization.

117902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 117902400 is about 10858.2871577427. The cubic root of 117902400 is about 490.3515455888.

The spelling of 117902400 in words is "one hundred seventeen million, nine hundred two thousand, four hundred".