480480829 has 8 divisors (see below), whose sum is σ = 490347000. Its totient is φ = 470714112.

The previous prime is 480480823. The next prime is 480480841. The reversal of 480480829 is 928084084.

It can be written as a sum of positive squares in 4 ways, for example, as 783225 + 479697604 = 885^2 + 21902^2 .

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 480480829 - 2³ = 480480821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480480821) 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, 15064 + ... + 34465.

It is an arithmetic number, because the mean of its divisors is an integer number (61293375).

Almost surely, 2^480480829 is an apocalyptic number.

It is an amenable number.

480480829 is a deficient number, since it is larger than the sum of its proper divisors (9866171).

480480829 is a wasteful number, since it uses less digits than its factorization.

480480829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49727.

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 480480829 is about 21919.8729239017. The cubic root of 480480829 is about 783.2348829141.

The spelling of 480480829 in words is "four hundred eighty million, four hundred eighty thousand, eight hundred twenty-nine".