480735 has 20 divisors (see below), whose sum is σ = 862488. Its totient is φ = 256176.

The previous prime is 480731. The next prime is 480737. The reversal of 480735 is 537084.

It is not a de Polignac number, because 480735 - 2² = 480731 is a prime.

It is a super-3 number, since 3×480735³ = 333302430963196125, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 480699 and 480708.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480735.

It is not an unprimeable number, because it can be changed into a prime (480731) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189 + ... + 998.

2⁴⁸⁰⁷³⁵ is an apocalyptic number.

480735 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

480735 is a deficient number, since it is larger than the sum of its proper divisors (381753).

480735 is a wasteful number, since it uses less digits than its factorization.

480735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1195 counting only the distinct ones).

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

The square root of 480735 is about 693.3505606834. The cubic root of 480735 is about 78.3372967161.

The spelling of 480735 in words is "four hundred eighty thousand, seven hundred thirty-five".