716414400 has 504 divisors, whose sum is σ = 2837474640. Its totient is φ = 170311680.

The previous prime is 716414389. The next prime is 716414407. The reversal of 716414400 is 4414617.

716414400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716414407) 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, 8049556 + ... + 8049644.

It is an arithmetic number, because the mean of its divisors is an integer number (5629910).

Almost surely, 2^716414400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 716414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418737320).

716414400 is an abundant number, since it is smaller than the sum of its proper divisors (2121060240).

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

716414400 is a wasteful number, since it uses less digits than its factorization.

716414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 716414400 is about 26765.9186279866. The cubic root of 716414400 is about 894.7906462879.

The spelling of 716414400 in words is "seven hundred sixteen million, four hundred fourteen thousand, four hundred".