116390400 has 240 divisors, whose sum is σ = 440430144. Its totient is φ = 26542080.

The previous prime is 116390389. The next prime is 116390437. The reversal of 116390400 is 4093611.

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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268584 + ... + 269016.

Almost surely, 2^116390400 is an apocalyptic number.

116390400 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 116390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220215072).

116390400 is an abundant number, since it is smaller than the sum of its proper divisors (324039744).

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

116390400 is an equidigital number, since it uses as much as digits as its factorization.

116390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 116390400 is about 10788.4382558367. The cubic root of 116390400 is about 488.2464042739.

The spelling of 116390400 in words is "one hundred sixteen million, three hundred ninety thousand, four hundred".