716487408 has 360 divisors, whose sum is σ = 2570179248. Its totient is φ = 184633344.

The previous prime is 716487383. The next prime is 716487433. The reversal of 716487408 is 804784617.

716487408 is a `hidden beast` number, since 7 + 164 + 87 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (716487383) and next prime (716487433).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6696091 + ... + 6696197.

Almost surely, 2^716487408 is an apocalyptic number.

716487408 is a gapful number since it is divisible by the number (78) 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 716487408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285089624).

716487408 is an abundant number, since it is smaller than the sum of its proper divisors (1853691840).

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

716487408 is a wasteful number, since it uses less digits than its factorization.

716487408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 716487408 is about 26767.2824171599. The cubic root of 716487408 is about 894.8210405479.

The spelling of 716487408 in words is "seven hundred sixteen million, four hundred eighty-seven thousand, four hundred eight".