16480800 has 288 divisors, whose sum is σ = 68745600. Its totient is φ = 3732480.

The previous prime is 16480777. The next prime is 16480801. The reversal of 16480800 is 808461.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (16480801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151146 + ... + 151254.

It is an arithmetic number, because the mean of its divisors is an integer number (238700).

Almost surely, 2^16480800 is an apocalyptic number.

16480800 is a gapful number since it is divisible by the number (10) 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 16480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

16480800 is an abundant number, since it is smaller than the sum of its proper divisors (52264800).

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

16480800 is a wasteful number, since it uses less digits than its factorization.

16480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 16480800 is about 4059.6551577689. The cubic root of 16480800 is about 254.4833831334.

The spelling of 16480800 in words is "sixteen million, four hundred eighty thousand, eight hundred".