480167329 has 8 divisors (see below), whose sum is σ = 509180040. Its totient is φ = 451239936.

The previous prime is 480167287. The next prime is 480167377. The reversal of 480167329 is 923761084.

It can be written as a sum of positive squares in 4 ways, for example, as 73136704 + 407030625 = 8552^2 + 20175^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 480167329 - 2¹³ = 480159137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 480167291 and 480167300.

It is not an unprimeable number, because it can be changed into a prime (480167629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9544 + ... + 32425.

It is an arithmetic number, because the mean of its divisors is an integer number (63647505).

Almost surely, 2^480167329 is an apocalyptic number.

It is an amenable number.

480167329 is a deficient number, since it is larger than the sum of its proper divisors (29012711).

480167329 is a wasteful number, since it uses less digits than its factorization.

480167329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42659.

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 480167329 is about 21912.7207119518. The cubic root of 480167329 is about 783.0644997314.

The spelling of 480167329 in words is "four hundred eighty million, one hundred sixty-seven thousand, three hundred twenty-nine".