713904480 has 288 divisors, whose sum is σ = 2600488800. Its totient is φ = 177831936.

The previous prime is 713904467. The next prime is 713904481. The reversal of 713904480 is 84409317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713904481) 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, 2653786 + ... + 2654054.

It is an arithmetic number, because the mean of its divisors is an integer number (9029475).

Almost surely, 2^713904480 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 713904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300244400).

713904480 is an abundant number, since it is smaller than the sum of its proper divisors (1886584320).

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

713904480 is a wasteful number, since it uses less digits than its factorization.

713904480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 713904480 is about 26718.9909989131. The cubic root of 713904480 is about 893.7444730126.

The spelling of 713904480 in words is "seven hundred thirteen million, nine hundred four thousand, four hundred eighty".