1716413952 has 320 divisors, whose sum is σ = 5373941760. Its totient is φ = 481689600.

The previous prime is 1716413947. The next prime is 1716413977. The reversal of 1716413952 is 2593146171.

Its product of digits (45360) is a multiple of the sum of its prime divisors (189).

It is a self number, because there is not a number n which added to its sum of digits gives 1716413952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15189448 + ... + 15189560.

It is an arithmetic number, because the mean of its divisors is an integer number (16793568).

Almost surely, 2^1716413952 is an apocalyptic number.

1716413952 is a gapful number since it is divisible by the number (12) 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 1716413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686970880).

1716413952 is an abundant number, since it is smaller than the sum of its proper divisors (3657527808).

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

1716413952 is a wasteful number, since it uses less digits than its factorization.

1716413952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

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

The square root of 1716413952 is about 41429.6265008508. The cubic root of 1716413952 is about 1197.3120279453.

The spelling of 1716413952 in words is "one billion, seven hundred sixteen million, four hundred thirteen thousand, nine hundred fifty-two".