481200016 has 60 divisors (see below), whose sum is σ = 1053687024. Its totient is φ = 211120000.

The previous prime is 481200007. The next prime is 481200029. The reversal of 481200016 is 610002184.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a self number, because there is not a number n which added to its sum of digits gives 481200016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146391 + ... + 149641.

Almost surely, 2^481200016 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 481200016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526843512).

481200016 is an abundant number, since it is smaller than the sum of its proper divisors (572487008).

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

481200016 is a wasteful number, since it uses less digits than its factorization.

481200016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 481200016 is about 21936.2716978068. The cubic root of 481200016 is about 783.6254718815.

The spelling of 481200016 in words is "four hundred eighty-one million, two hundred thousand, sixteen".