480693395 has 16 divisors (see below), whose sum is σ = 709947840. Its totient is φ = 304262784.

The previous prime is 480693383. The next prime is 480693397. The reversal of 480693395 is 593396084.

It is not a de Polignac number, because 480693395 - 2¹² = 480689299 is a prime.

It is a super-3 number, since 3×480693395³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (480693397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527780 + ... + 528689.

It is an arithmetic number, because the mean of its divisors is an integer number (44371740).

Almost surely, 2^480693395 is an apocalyptic number.

480693395 is a deficient number, since it is larger than the sum of its proper divisors (229254445).

480693395 is a wasteful number, since it uses less digits than its factorization.

480693395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056494.

The product of its (nonzero) digits is 699840, while the sum is 47.

The square root of 480693395 is about 21924.7210928668. The cubic root of 480693395 is about 783.3503676191.

The spelling of 480693395 in words is "four hundred eighty million, six hundred ninety-three thousand, three hundred ninety-five".