739978448400 has 585 divisors, whose sum is σ = 2712659964061. Its totient is φ = 193983050880.

The previous prime is 739978448383. The next prime is 739978448431. The reversal of 739978448400 is 4844879937.

The square root of 739978448400 is 860220.

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

739978448400 is a `hidden beast` number, since 73 + 9 + 9 + 7 + 84 + 484 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 266392241424 + 473586206976 = 516132^2 + 688176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 12542007571 + ... + 12542007629.

Almost surely, 2^739978448400 is an apocalyptic number.

739978448400 is the 860220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 739978448400

739978448400 is an abundant number, since it is smaller than the sum of its proper divisors (1972681515661).

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

739978448400 is an frugal number, since it uses more digits than its factorization.

739978448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 739978448400 in words is "seven hundred thirty-nine billion, nine hundred seventy-eight million, four hundred forty-eight thousand, four hundred".