480762 has 32 divisors (see below), whose sum is σ = 1108800. Its totient is φ = 154224.

The previous prime is 480761. The next prime is 480773. The reversal of 480762 is 267084.

It is a super-3 number, since 3×480762³ = 333358592909432184, 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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480762.

It is not an unprimeable number, because it can be changed into a prime (480761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1413 + ... + 1719.

It is an arithmetic number, because the mean of its divisors is an integer number (34650).

2⁴⁸⁰⁷⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554400).

480762 is an abundant number, since it is smaller than the sum of its proper divisors (628038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480762 is a wasteful number, since it uses less digits than its factorization.

480762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 480762 is about 693.3700310801. The cubic root of 480762 is about 78.3387632673.

The spelling of 480762 in words is "four hundred eighty thousand, seven hundred sixty-two".