480162816 has 220 divisors, whose sum is σ = 1640678688. Its totient is φ = 137023488.

The previous prime is 480162797. The next prime is 480162871. The reversal of 480162816 is 618261084.

480162816 is a `hidden beast` number, since 480 + 162 + 8 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 580195 + ... + 581021.

Almost surely, 2^480162816 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 480162816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820339344).

480162816 is an abundant number, since it is smaller than the sum of its proper divisors (1160515872).

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

480162816 is an equidigital number, since it uses as much as digits as its factorization.

480162816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 480162816 is about 21912.6177349946. The cubic root of 480162816 is about 783.0620464330.

The spelling of 480162816 in words is "four hundred eighty million, one hundred sixty-two thousand, eight hundred sixteen".