480179569 has 9 divisors (see below), whose sum is σ = 510482977. Its totient is φ = 451583104.

The previous prime is 480179563. The next prime is 480179591. The reversal of 480179569 is 965971084.

The square root of 480179569 is 21913.

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 167314225 + 312865344 = 12935^2 + 17688^2 .

It is not a de Polignac number, because 480179569 - 2²¹ = 478082417 is a prime.

It is a super-2 number, since 2×480179569² = 461144836970051522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480179563) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 371877 + ... + 373165.

Almost surely, 2^480179569 is an apocalyptic number.

480179569 is the 21913-rd square number.

480179569 is the 10957-th centered octagonal number.

It is an amenable number.

480179569 is a deficient number, since it is larger than the sum of its proper divisors (30303408).

480179569 is an frugal number, since it uses more digits than its factorization.

480179569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The cubic root of 480179569 is about 783.0711534036.

Multiplying 480179569 by its sum of digits (49), we get a square (23528798881 = 153391²).

The spelling of 480179569 in words is "four hundred eighty million, one hundred seventy-nine thousand, five hundred sixty-nine".