716509416 has 128 divisors (see below), whose sum is σ = 2099865600. Its totient is φ = 199514880.

The previous prime is 716509349. The next prime is 716509427. The reversal of 716509416 is 614905617.

It is a super-2 number, since 2×716509416² = 1026771486433322112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1424221 + ... + 1424723.

It is an arithmetic number, because the mean of its divisors is an integer number (16405200).

Almost surely, 2^716509416 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 716509416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049932800).

716509416 is an abundant number, since it is smaller than the sum of its proper divisors (1383356184).

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

716509416 is a wasteful number, since it uses less digits than its factorization.

716509416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 716509416 is about 26767.6935128897. The cubic root of 716509416 is about 894.8302023836.

The spelling of 716509416 in words is "seven hundred sixteen million, five hundred nine thousand, four hundred sixteen".