480314016 has 384 divisors, whose sum is σ = 1778112000. Its totient is φ = 122757120.

The previous prime is 480313997. The next prime is 480314017. The reversal of 480314016 is 610413084.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480314017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3223510 + ... + 3223658.

It is an arithmetic number, because the mean of its divisors is an integer number (4630500).

Almost surely, 2^480314016 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 480314016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889056000).

480314016 is an abundant number, since it is smaller than the sum of its proper divisors (1297797984).

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

480314016 is a wasteful number, since it uses less digits than its factorization.

480314016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 480314016 is about 21916.0675304672. The cubic root of 480314016 is about 783.1442314419.

The spelling of 480314016 in words is "four hundred eighty million, three hundred fourteen thousand, sixteen".