713434176 has 336 divisors, whose sum is σ = 2602992000. Its totient is φ = 187619328.

The previous prime is 713434159. The next prime is 713434231. The reversal of 713434176 is 671434317.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 713434176.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2044050 + ... + 2044398.

It is an arithmetic number, because the mean of its divisors is an integer number (7747000).

Almost surely, 2^713434176 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 713434176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301496000).

713434176 is an abundant number, since it is smaller than the sum of its proper divisors (1889557824).

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

713434176 is a wasteful number, since it uses less digits than its factorization.

713434176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 374 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 713434176 is about 26710.1886178290. The cubic root of 713434176 is about 893.5481704036.

The spelling of 713434176 in words is "seven hundred thirteen million, four hundred thirty-four thousand, one hundred seventy-six".