470200946944 has 81 divisors (see below), whose sum is σ = 997418161551. Its totient is φ = 221183262720.

The previous prime is 470200946909. The next prime is 470200946989. The reversal of 470200946944 is 449649002074.

The square root of 470200946944 is 685712.

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

It can be written as a sum of positive squares in 4 ways, for example, as 93342470400 + 376858476544 = 305520^2 + 613888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 186512404 + ... + 186514924.

Almost surely, 2^470200946944 is an apocalyptic number.

470200946944 is the 685712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470200946944

470200946944 is an abundant number, since it is smaller than the sum of its proper divisors (527217214607).

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

470200946944 is an frugal number, since it uses more digits than its factorization.

470200946944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 470200946944 by its sum of digits (49), we get a square (23039846400256 = 4799984²).

The spelling of 470200946944 in words is "four hundred seventy billion, two hundred million, nine hundred forty-six thousand, nine hundred forty-four".