480624 has 80 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 138240.

The previous prime is 480587. The next prime is 480647. The reversal of 480624 is 426084.

It is a super-3 number, since 3×480624³ = 333071609233231872, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 480594 and 480603.

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 480624.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15489 + ... + 15519.

It is an arithmetic number, because the mean of its divisors is an integer number (17856).

2⁴⁸⁰⁶²⁴ 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 480624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240).

480624 is an abundant number, since it is smaller than the sum of its proper divisors (947856).

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

480624 is a wasteful number, since it uses less digits than its factorization.

480624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 480624 is about 693.2705099743. The cubic root of 480624 is about 78.3312669844.

The spelling of 480624 in words is "four hundred eighty thousand, six hundred twenty-four".