480019120 has 80 divisors (see below), whose sum is σ = 1287560448. Its totient is φ = 163019520.

The previous prime is 480019081. The next prime is 480019151. The reversal of 480019120 is 21910084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 55915 + ... + 63925.

Almost surely, 2^480019120 is an apocalyptic number.

480019120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480019120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643780224).

480019120 is an abundant number, since it is smaller than the sum of its proper divisors (807541328).

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

480019120 is a wasteful number, since it uses less digits than its factorization.

480019120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8138 (or 8132 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 480019120 is about 21909.3386481655. The cubic root of 480019120 is about 782.9839242443.

It can be divided in two parts, 48001 and 9120, that added together give a square (57121 = 239²).

The spelling of 480019120 in words is "four hundred eighty million, nineteen thousand, one hundred twenty".