709671456400 has 135 divisors (see below), whose sum is σ = 1731662726481. Its totient is φ = 279494737920.

The previous prime is 709671456367. The next prime is 709671456401. The reversal of 709671456400 is 4654176907.

The square root of 709671456400 is 842420.

It is a perfect power (a square), and thus also a powerful number.

709671456400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 17420832144 + 692250624256 = 131988^2 + 832016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (709671456401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1229932912 + ... + 1229933488.

Almost surely, 2^709671456400 is an apocalyptic number.

709671456400 is the 842420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 709671456400

709671456400 is an abundant number, since it is smaller than the sum of its proper divisors (1021991270081).

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

709671456400 is an frugal number, since it uses more digits than its factorization.

709671456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 709671456400 by its sum of digits (49), we get a square (34773901363600 = 5896940²).

The spelling of 709671456400 in words is "seven hundred nine billion, six hundred seventy-one million, four hundred fifty-six thousand, four hundred".