116465400 has 144 divisors (see below), whose sum is σ = 396068400. Its totient is φ = 30666240.

The previous prime is 116465369. The next prime is 116465411. The reversal of 116465400 is 4564611.

116465400 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 654 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 159837 + ... + 160563.

It is an arithmetic number, because the mean of its divisors is an integer number (2750475).

Almost surely, 2^116465400 is an apocalyptic number.

116465400 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 116465400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198034200).

116465400 is an abundant number, since it is smaller than the sum of its proper divisors (279603000).

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

116465400 is a wasteful number, since it uses less digits than its factorization.

116465400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 116465400 is about 10791.9136393876. The cubic root of 116465400 is about 488.3512543236.

It can be divided in two parts, 1164 and 65400, that added together give a square (66564 = 258²).

The spelling of 116465400 in words is "one hundred sixteen million, four hundred sixty-five thousand, four hundred".