209148480 has 140 divisors (see below), whose sum is σ = 744070140. Its totient is φ = 55766016.

The previous prime is 209148427. The next prime is 209148491. The reversal of 209148480 is 84841902.

It can be written as a sum of positive squares in 2 ways, for example, as 23970816 + 185177664 = 4896^2 + 13608^2 .

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

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21886 + ... + 29954.

Almost surely, 2^209148480 is an apocalyptic number.

209148480 is a gapful number since it is divisible by the number (20) 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 209148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372035070).

209148480 is an abundant number, since it is smaller than the sum of its proper divisors (534921660).

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

209148480 is an equidigital number, since it uses as much as digits as its factorization.

209148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8098 (or 8079 counting only the distinct ones).

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

The square root of 209148480 is about 14461.9666712380. The cubic root of 209148480 is about 593.5877151310.

It can be divided in two parts, 209148 and 480, that added together give a triangular number (209628 = T₆₄₇).

The spelling of 209148480 in words is "two hundred nine million, one hundred forty-eight thousand, four hundred eighty".