480123072 has 448 divisors, whose sum is σ = 1741017600. Its totient is φ = 127733760.

The previous prime is 480123041. The next prime is 480123089. The reversal of 480123072 is 270321084.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7165983 + ... + 7166049.

It is an arithmetic number, because the mean of its divisors is an integer number (3886200).

Almost surely, 2^480123072 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 480123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870508800).

480123072 is an abundant number, since it is smaller than the sum of its proper divisors (1260894528).

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

480123072 is a wasteful number, since it uses less digits than its factorization.

480123072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 480123072 is about 21911.7108414656. The cubic root of 480123072 is about 783.0404406529.

The spelling of 480123072 in words is "four hundred eighty million, one hundred twenty-three thousand, seventy-two".