480071608384 has 63 divisors (see below), whose sum is σ = 959209594023. Its totient is φ = 238392311808.

The previous prime is 480071608327. The next prime is 480071608391. The reversal of 480071608384 is 483806170084.

It is a happy number.

The square root of 480071608384 is 692872.

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 80243025984 + 399828582400 = 283272^2 + 632320^2 .

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, 1424544664 + ... + 1424545000.

Almost surely, 2^480071608384 is an apocalyptic number.

480071608384 is the 692872-nd square number.

It is an amenable number.

480071608384 is a deficient number, since it is larger than the sum of its proper divisors (479137985639).

480071608384 is an frugal number, since it uses more digits than its factorization.

480071608384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

Multiplying 480071608384 by its sum of digits (49), we get a square (23523508810816 = 4850104²).

The spelling of 480071608384 in words is "four hundred eighty billion, seventy-one million, six hundred eight thousand, three hundred eighty-four".