480682721 has 8 divisors (see below), whose sum is σ = 484901640. Its totient is φ = 476474368.

The previous prime is 480682703. The next prime is 480682739. The reversal of 480682721 is 127286084.

It is an interprime number because it is at equal distance from previous prime (480682703) and next prime (480682739).

It can be written as a sum of positive squares in 4 ways, for example, as 45751696 + 434931025 = 6764^2 + 20855^2 .

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 480682721 - 2¹⁰ = 480681697 is a prime.

It is a super-3 number, since 3×480682721³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480682751) 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, 108665 + ... + 113001.

It is an arithmetic number, because the mean of its divisors is an integer number (60612705).

Almost surely, 2^480682721 is an apocalyptic number.

It is an amenable number.

480682721 is a deficient number, since it is larger than the sum of its proper divisors (4218919).

480682721 is a wasteful number, since it uses less digits than its factorization.

480682721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5283.

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 480682721 is about 21924.4776676663. The cubic root of 480682721 is about 783.3445693675.

The spelling of 480682721 in words is "four hundred eighty million, six hundred eighty-two thousand, seven hundred twenty-one".