480357 has 8 divisors (see below), whose sum is σ = 711680. Its totient is φ = 320220.

The previous prime is 480349. The next prime is 480367. The reversal of 480357 is 753084.

It is not a de Polignac number, because 480357 - 2³ = 480349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 17791 = 480357 / (4 + 8 + 0 + 3 + 5 + 7).

It is a Duffinian number.

480357 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 480357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480317) 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, 8869 + ... + 8922.

It is an arithmetic number, because the mean of its divisors is an integer number (88960).

2⁴⁸⁰³⁵⁷ is an apocalyptic number.

It is an amenable number.

480357 is a deficient number, since it is larger than the sum of its proper divisors (231323).

480357 is a wasteful number, since it uses less digits than its factorization.

480357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17800 (or 17794 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 480357 is about 693.0779176976. The cubic root of 480357 is about 78.3167592317.

The spelling of 480357 in words is "four hundred eighty thousand, three hundred fifty-seven".