480445832164 has 27 divisors (see below), whose sum is σ = 848563259817. Its totient is φ = 238019417664.

The previous prime is 480445832143. The next prime is 480445832183. The reversal of 480445832164 is 461238544084.

The square root of 480445832164 is 693142.

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

It can be written as a sum of positive squares in only one way, i.e., 8465840100 + 471979992064 = 92010^2 + 687008^2 .

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, 156648559 + ... + 156651625.

Almost surely, 2^480445832164 is an apocalyptic number.

480445832164 is the 693142-nd square number.

It is an amenable number.

480445832164 is a deficient number, since it is larger than the sum of its proper divisors (368117427653).

480445832164 is an frugal number, since it uses more digits than its factorization.

480445832164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 49.

Multiplying 480445832164 by its sum of digits (49), we get a square (23541845776036 = 4851994²).

The spelling of 480445832164 in words is "four hundred eighty billion, four hundred forty-five million, eight hundred thirty-two thousand, one hundred sixty-four".