116409400 has 48 divisors (see below), whose sum is σ = 277984440. Its totient is φ = 45302400.

The previous prime is 116409389. The next prime is 116409407. The reversal of 116409400 is 4904611.

It is a super-2 number, since 2×116409400² = 27102296816720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116409407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466 + ... + 15265.

Almost surely, 2^116409400 is an apocalyptic number.

116409400 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 116409400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138992220).

116409400 is an abundant number, since it is smaller than the sum of its proper divisors (161575040).

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

116409400 is a wasteful number, since it uses less digits than its factorization.

116409400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15784 (or 15775 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 116409400 is about 10789.3187922130. The cubic root of 116409400 is about 488.2729705455.

The spelling of 116409400 in words is "one hundred sixteen million, four hundred nine thousand, four hundred".