716408 has 32 divisors (see below), whose sum is σ = 1676160. Its totient is φ = 278880.

The previous prime is 716399. The next prime is 716411. The reversal of 716408 is 804617.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (52380).

2⁷¹⁶⁴⁰⁸ 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 716408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838080).

716408 is an abundant number, since it is smaller than the sum of its proper divisors (959752).

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

716408 is a wasteful number, since it uses less digits than its factorization.

716408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 716408 is about 846.4088846415. The cubic root of 716408 is about 89.4787981779.

Subtracting 716408 from its reverse (804617), we obtain a square (88209 = 297²).

The spelling of 716408 in words is "seven hundred sixteen thousand, four hundred eight".