480598827 has 8 divisors (see below), whose sum is σ = 640923600. Its totient is φ = 320336640.

The previous prime is 480598813. The next prime is 480598841. The reversal of 480598827 is 728895084.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (480598813) and next prime (480598841).

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

It is not a de Polignac number, because 480598827 - 2¹² = 480594731 is a prime.

It is a super-3 number, since 3×480598827³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480598827.

It is not an unprimeable number, because it can be changed into a prime (480598847) 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, 6927 + ... + 31767.

It is an arithmetic number, because the mean of its divisors is an integer number (80115450).

Almost surely, 2^480598827 is an apocalyptic number.

480598827 is a deficient number, since it is larger than the sum of its proper divisors (160324773).

480598827 is a wasteful number, since it uses less digits than its factorization.

480598827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31293.

The product of its (nonzero) digits is 1290240, while the sum is 51.

The square root of 480598827 is about 21922.5643344934. The cubic root of 480598827 is about 783.2989940985.

The spelling of 480598827 in words is "four hundred eighty million, five hundred ninety-eight thousand, eight hundred twenty-seven".