480019680 has 216 divisors, whose sum is σ = 1905786792. Its totient is φ = 109702656.

The previous prime is 480019669. The next prime is 480019697. The reversal of 480019680 is 86910084.

It is a happy number.

480019680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480019680³ (a number of 27 digits) contains 333 as substring.

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

480019680 is a modest number, since divided by 19680 gives 4800 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67159 + ... + 73961.

It is an arithmetic number, because the mean of its divisors is an integer number (8823087).

Almost surely, 2^480019680 is an apocalyptic number.

480019680 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 480019680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952893396).

480019680 is an abundant number, since it is smaller than the sum of its proper divisors (1425767112).

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

480019680 is a wasteful number, since it uses less digits than its factorization.

480019680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6838 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 480019680 is about 21909.3514281003. The cubic root of 480019680 is about 782.9842287258.

The spelling of 480019680 in words is "four hundred eighty million, nineteen thousand, six hundred eighty".