713348496 has 240 divisors, whose sum is σ = 2465199360. Its totient is φ = 188052480.

The previous prime is 713348491. The next prime is 713348507. The reversal of 713348496 is 694843317.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

Its product of digits (435456) is a multiple of the sum of its prime factors (1134).

It is not an unprimeable number, because it can be changed into a prime (713348491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671806 + ... + 672866.

It is an arithmetic number, because the mean of its divisors is an integer number (10271664).

Almost surely, 2^713348496 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 713348496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232599680).

713348496 is an abundant number, since it is smaller than the sum of its proper divisors (1751850864).

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

713348496 is a wasteful number, since it uses less digits than its factorization.

713348496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1125 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 713348496 is about 26708.5846873248. The cubic root of 713348496 is about 893.5123986978.

The spelling of 713348496 in words is "seven hundred thirteen million, three hundred forty-eight thousand, four hundred ninety-six".