480051 has 24 divisors (see below), whose sum is σ = 816816. Its totient is φ = 267840.

The previous prime is 480049. The next prime is 480059. The reversal of 480051 is 150084.

It is not a de Polignac number, because 480051 - 2¹ = 480049 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (480059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101 + ... + 1473.

It is an arithmetic number, because the mean of its divisors is an integer number (34034).

2⁴⁸⁰⁰⁵¹ is an apocalyptic number.

480051 is a deficient number, since it is larger than the sum of its proper divisors (336765).

480051 is a wasteful number, since it uses less digits than its factorization.

480051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 480051 is about 692.8571281296. The cubic root of 480051 is about 78.3001257564.

It can be divided in two parts, 4800 and 51, that added together give a triangular number (4851 = T₉₈).

The spelling of 480051 in words is "four hundred eighty thousand, fifty-one".