480308544 has 168 divisors, whose sum is σ = 1461544448. Its totient is φ = 150543360.

The previous prime is 480308489. The next prime is 480308567. The reversal of 480308544 is 445803084.

480308544 is a `hidden beast` number, since 4 + 80 + 30 + 8 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 480308499 and 480308508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660309 + ... + 661035.

Almost surely, 2^480308544 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 480308544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730772224).

480308544 is an abundant number, since it is smaller than the sum of its proper divisors (981235904).

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

480308544 is a wasteful number, since it uses less digits than its factorization.

480308544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 480308544 is about 21915.9426901970. The cubic root of 480308544 is about 783.1412574281.

The spelling of 480308544 in words is "four hundred eighty million, three hundred eight thousand, five hundred forty-four".