480924 has 48 divisors (see below), whose sum is σ = 1284640. Its totient is φ = 155520.

The previous prime is 480919. The next prime is 480929. The reversal of 480924 is 429084.

It is an interprime number because it is at equal distance from previous prime (480919) and next prime (480929).

It is a super-3 number, since 3×480924³ = 333695697078987072, which contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480929) by changing a digit.

480924 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 6552 + ... + 6624.

2⁴⁸⁰⁹²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642320).

480924 is an abundant number, since it is smaller than the sum of its proper divisors (803716).

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

480924 is a wasteful number, since it uses less digits than its factorization.

480924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 480924 is about 693.4868419804. The cubic root of 480924 is about 78.3475614214.

The spelling of 480924 in words is "four hundred eighty thousand, nine hundred twenty-four".