480522384 has 60 divisors (see below), whose sum is σ = 1351913472. Its totient is φ = 159326400.

The previous prime is 480522359. The next prime is 480522421. The reversal of 480522384 is 483225084.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18769 + ... + 36239.

Almost surely, 2^480522384 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 480522384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675956736).

480522384 is an abundant number, since it is smaller than the sum of its proper divisors (871391088).

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

480522384 is a wasteful number, since it uses less digits than its factorization.

480522384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17676 (or 17667 counting only the distinct ones).

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

The square root of 480522384 is about 21920.8207875526. The cubic root of 480522384 is about 783.2574619539.

The spelling of 480522384 in words is "four hundred eighty million, five hundred twenty-two thousand, three hundred eighty-four".