209796480 has 384 divisors, whose sum is σ = 801964800. Its totient is φ = 52254720.

The previous prime is 209796463. The next prime is 209796487. The reversal of 209796480 is 84697902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209796487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2954845 + ... + 2954915.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2^209796480 is an apocalyptic number.

209796480 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 209796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

209796480 is an abundant number, since it is smaller than the sum of its proper divisors (592168320).

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

209796480 is an equidigital number, since it uses as much as digits as its factorization.

209796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 209796480 is about 14484.3529368764. The cubic root of 209796480 is about 594.2001162288.

It can be divided in two parts, 209796 and 480, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 209796480 in words is "two hundred nine million, seven hundred ninety-six thousand, four hundred eighty".